Solve the system of linear equations by substitution.

y = 2x + 8
y = -2x

Answers

Answer 1

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

Answer 2

Answer: [tex]y=4,\:x=-2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-2x[/tex]

[tex]\begin{bmatrix}-2x=2x+8\end{bmatrix}[/tex]

[tex]{Isolate\:}x{for -2x=2x+8[/tex]

[tex]x=-2[/tex]

[tex]\mathrm{For\:}y=-2x[/tex]

[tex]\mathrm{Substitute\:}x=-2[/tex]

[tex]y=-2\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=4[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are:[/tex]

[tex]y=4,\:x=-2[/tex]

Good Luck!


Related Questions

Find the second term of the binomial expansion (a-1)^3

Answers

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]

please help me out in this question

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Could you post a more clearer photo or write it out


What is the equation of the line in slope-intercept form?

Answers

Answer:

y=-6x

Step-by-step explanation:

decreasing 6/1 rise/run and no y int

Answer:

y= -6x

Step-by-step explanation:

As you move up vertically  from your y-intercept (0,0) six times, you can see that your x-intercept increased by -1. Because your x-intercept has increased by -1, there is a negative sign in front of 6x

There is no number after -6x because the place where your line meets the y-axis (y-intercept) is (0,0).

I need help pleaseeee, anyone?!!

Answers

Answer= 94.2Step-by-step explanation:Let x represent the numberx - 4.5%x = 90x - 4.5/100x = 90x - 0.045x = 900.955x = 90Divide both sides by 0.955(the coefficient of )x = 90/…

Factor by Grouping:
8x²+12x+2xy+3y

Answers

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

Solve the inequality and graph the solution. – 8g–13≥3

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: g ≤ −2

Step-by-step explanation:

Find the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively. ​

Answers

By using the concept of equation of a Straight line,we arrive to the conclusion that the equation of the straight line which cuts off intercepts -5 and 3 on X-axis and Y-axis respectively is 5x - 3y + 15 = 0.

Interception is the point where any line or curve crosses the axis.If the point of crossing line in x-axis then it is known as x-intercept .Similarly, if the point lies on y-axis is is named as y-intercept.

Here,according to the quesion:

x-intercept of the line is,a= -5

y-intercept of the line is,b= 3

The equation of the line here by formed with intercepts is:

[tex]x/a +y/b =1[/tex]

therefore x/(-5) + y/3 =1

                - 5x+3y = 15

                  5x -3y+ 15=0

So,the equation of the mention line is   5x -3y+ 15=0

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alve.
. Tia has 25 china figures in her collection. The horse figures cost $2
each, and the cat figures cost $1 each. She paid $39 for all the figures in
the collection. How many horses and how many cats does she have?
Equations:
Solution:

Answers

For the equations let h represent horses and c represent cats.

The # of horses + the # of cats= 25, so the first equation would be h+c=25

$2(# of horses) + $1(# of cats)= $39, so the second equation would be 2h+c=$39

Get one of the variables in the first equation by itself, so I subtracted c from each side to get h=25-c

Plug that equation into the second equation for the variable h like this, 2(25-c) + c= $39. Solve this using order of operations and you get c=$11. Since the cats cost $1 each, then you know that there must be 11 cat figures. There are 25 figures total, so 25-11= 14 horses.

So there are 11 cats and 14 horses

helpp.... -_-llllllllllll

Answers

Answer:

I believe that it is 812 tiles.

Step-by-step explanation:

Answer:

812 tiles

Step-by-step explanation:

28 feet by 29 feet is 812, each tile is 1 square foot. This means that there are 812 tiles.

Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)

Answers

Answer:

20%

Step-by-step explanation:

(final - initial)/initial

48-40)/40

8/40

1/5

or 20% error

Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negative 8. 16 1. 2 n = negative 8 16 1. 2 n = 8 16 = 1. 2 n (negative 8) 16 = negative 1. 2 n 8.

Answers

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

[tex]16=1.2n+(-8)[/tex]

How to write algebraic equation from statement?

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]

Thus the equation can be used to represent the given statement is,

[tex]16=1.2n+(-8)[/tex]

Learn more about the algebraic expression here;

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Can someone answer this questions please :))

Answers

Answer:

Answer is the second one( -1/2)

Mo is thinking of a number. Eleven more than one third of the number is -1. Find Mo's number

Answers

Answer:

the letter is answer F

Step-by-step explanation:

Hope this is good

Sunshine had $29 and used $10,how much does she have left?

Answers

She has 19 dollars left explication: 29-10=19 hope it helps!

Answer:

Sunshine has $19 left after spending $10.

Step-by-step explanation:

29 - 10 = x

Subract 10 from 29 to solve for x.

x = 19

A swimming is filled at a constant rate.when half full the pool had 7500 litres poured into it.a) what fraction has still to be put into the pool?b)How much water will be needed when 5000 litres is already in the pool?

Answers

Answer:

A. 1/2 has still to be put in the pool, if we already have 7500 litres in the pool and that's half we need 7500 more which is another half.

B. if 7500 is half the amount that can fit in the pool it means that when the pool is full there are 15000 litres of liquid in the pool meaning that if there is barely 5000 litres we are barely 1/3 of the way done. but if the question is asking if we add 5000 to the 7500 already in the pool we will have 12500 out of the 15000 required to fill the pool, this fraction simplified would be 5/6

how long will 24 cans of soda last?

Answers

Answer:

it depends on the circumstances

Step-by-step explanation:

Answer:

6-9 months I'm pretty sure

x+4=2
what is the qeasoun of this

Answers

[tex]x\\[/tex]Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]x+4=2[/tex]

we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):

[tex]x=2-4[/tex]

solve :

[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]

[tex]x=-2[/tex]

now [tex]x[/tex] is equal to [tex]-2[/tex]

Answer:

x = -2

Step-by-step explanation:

x + 4 = 2

x + 4 - 4 = 2 - 4

x = - 2

Triangle ABC has the given measures. Solve the triangle(s), if any exist.

A = 162°, a = 6.1, b = 4

How many triangle(s) can possibly be formed?

Answers

Answer: why is there two a’s?

Step-by-step explanation:

if those are the correct angles then 1 can be formed because every triangle always adds up to 180

Answer:

answer is 1

Step-by-step explanation:

I honestly made a lucky guess

Janica’s father is laying square tiles in her room. The length of the side of the tile is 1 foot. Janica’s room is 13 feet by 11 feet. How many tiles will her father use?

Answers

13x11= 143 tiles total

kindly answer it ....​

Answers

some problem , pls refer the attachment for your answer

Hope it helps ~

Another one? Please help.


Thank you so much!​

Answers

Hi there!

8.

Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]

Thus, we can rearrange the expression in parts.

[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]

Now, combine these terms:

[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]

More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]

Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]

9)

Begin by solving the inside of the parenthesis.

[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]

10)

Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]

Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).

[tex]=( \frac{y^2}{xz^3})^2[/tex]

Square both the numerator and denominator.

Recall the property:
[tex](x^a)^b = x^{ab}[/tex]

[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]

is this correct? i added them together to simplify it. (will give brainliest if theres an early response)

Answers

Answer: I think the answer is 5.3x + 1.7

\frac{2^{2}}{2^{-7}}\times 2\normalsize?
2
−7

2
2


×2?

Answers

\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}

The complement in the following sentence is
My uncle drives a new car.
1. car
2. drives
3. new
Btw it's not new I tried but it said it was wrong, thanks!

Answers

Answer:

belve t would be drives

Step-by-step explanation:

Hope ths helps.

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? StartFraction 5 Over 121 EndFraction StartFraction 6 Over 121 EndFraction Five-elevenths Six-elevenths.

Answers

Answer: c . 6/121

Step-by-step explanation: 100% on edge

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Probability

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ2

You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you will pay for the meal and the tip the waiter gave excellent service so you want to leave 20% tip. How much will you leave for a tip ?

Answers

answer: 5.34

Step by step explanation 12.75 + 13.95=26.7

20% of 26.7 is 5.34

Which of the following systems of equations has infinitely many solutions?

Answers

Answer:

C. y = x + 4, 2y = 2x + 8

Step-by-step explanation:

The system has infinitely many solutions if the two equations are equivalent.

We can analyze the given systems to see:

A)

2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6

Different slopes, there is one solution

B)

y = 5x + 7y = 2x + 8

Different slopes, there is one solution

C)

y = x + 42y = 2x + 8 ⇒ y = x + 4

Same lines, infinitely many solutions

D)

7x - y = 10 ⇒ y = 7x - 10y = 6x + 8

Different slopes, there is one solution

Solution:

When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.

Option A - 2x + 7x + y = 6 and y = 9x + 6

=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)

Option B - y = 5x + 7 and y = 2x + 8

=> (y = 5x + 7) ≠ (y = 2x + 8)

Option C - y = x + 4 and 2y = 2x + 8

=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)

Option D - 7x - y = 10 and y = 6x + 8

=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)

Hence, Option C is correct.

#8 please write in slope intercept form!

Answers

Answer:

we dont know 888484b484 94y48 84y

Step-by-step explanation:

we dont kbow 1298474add on to it and see rther but if not ok

Answer this question Please!! (50 point's)

Answers

Answer:

0.875

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)

Ayuda por favor


x^(2)+2x-a^(2)-4a-3

Answers

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer:

[tex]x=a+1,\:x=-a-3[/tex]

Step-by-step explanation:

Remove parenthesis:

[tex]x^2+2x-a^2-4a-3=0[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=a+1,\:x=-a-3[/tex]

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