x=2y-6;y=3x-7
substitution to solve systems of equations​

Answers

Answer 1
Answer:

As you said, we can solve this system for y by using substitution.

[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]

Now, using what we got for y, we plug it into one of the original equations to solve for x.

[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]

Now we have the solution of this system.

[tex](4, 5)[/tex]

Answer 2

For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,

x=2y-6

y=3x-7

Solve the above equations by substitution method,

x=2(3x-7)-6

x = 6x -14 - 6

6x - x = 20

5x = 20

x = 4

The value of y will be calculated as,

y=3x-7

y = ( 3 x 4) - 7

y = 12 - 7

y = 5

To know more about an expression follow

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Related Questions

help me how to answer this please​

Answers

Step-by-step explanation:

x^2 + 4x - 21 = 0

(x - 3)(x + 7) = 0

x = 3 or x = -7

x^2 - 14x = -24

x^2 - 14x + 24 = 0

(x - 12)(x - 2) = 0

x - 12 = 0 or x - 2 = 0

x = 12 or x = 2

2x^2 - 12 = 2x

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Topic: Factorisation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Which statement is true for all triangles with exterior angle 1 and remote interior angles 2 and 3?

Answers

Answer:

The answer is below

Step-by-step explanation:

The measure of the exterior angle 1 of a triangle is equal to the sum of the corresponding interior angles 2 and 3.

This is evident in the Theorem 3 of a triangle

For example

Given a hypothetical triangle, with the following angle QRS, ∠1, ∠2, and ∠3 are interior angles. And ∠4, ∠5, and ∠6 are the three exterior angles.

We have the following ∠4 = ∠2 + ∠3

∠5 = ∠1 + ∠3

∠6 = ∠1 + ∠2

Define the is a way of expressi a relationship between x and y in set notation it is called an

Answers

Answer:

I think it’s an ordered pair?

Step-by-step explanation:


Jessica has 3 cards in a bag,each marked with a letter. The letters are X, Y, and Z. Without looking, she reaches into the
bag, pulls out a
card, and then puts the card back in the bag. If Jessica does this 3 times, what is the probability she pulls out the X card first, then the Y
card, and then the Z card? In a fraction

Answers

Answer:

Step-by-step explanation: It’s 3/7, 1/27, 3/20 idk which one tho :(

WILL GIVE 25 POINTS PLEASE HELP

Answers

Answer:

A: rising B: falling C: falling D: falling

Step-by-step explanation:

i think its correct i might be wrong

Graph the line by plotting any two ordered pairs that satisfy the equation.
-6y = 9

Answers

Answer:

GRAPH IS IN THE PICTURE BELOW

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

no? :I

Step-by-step explanation:

Which of the following quantities are continuous ?

Answers

Answer: A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's the divisible unit.

The number of books and bracelets also discrete, thus the answer is A.

The difference 25(d−10)−23(d+6) is?

Answers

Answer:2d - 388Hope this helps!!

2/9 of my number is 4. what is my number?

Be the brainy one ny answerinng the question OK?

Answers

18 should be your number

Is (-4)6 positive or negative?

Answers

Answer:

+2/positive 2

Step-by-step explanation:

positive 2 because + and - = - but the number 6 is bigger than 4 thats why it is +2

Answer:

Negative

Step-by-step explanation:

Any time you multiply a positive number by a negative, the answer will always be negative.

N = negative

P = positive

N*N = P

N*P = N

P*P = P

I am trying to be a​

Answers

Yes, X will equal 44

Factor the expression completely. -24x-6x^5

Answers

Answer: -6x(x^4 + 4)

Step-by-step explanation:  factor the -6 out of the problem

I'm so stressed Please help I will try to give you BRAINLIEST if you get it right I promise please help​

Answers

A: (10,-3) Quadrant IV (4)
B: (8,9) Quadrant I (1)
C: (-3,-2) Quadrant III (3)
D: (4,0) On the x-axis
E: (-7,-4) Quadrant III (3)
F: (8,7) Quadrant I (1)
G: (0,-7) On the y-axis
H: (1,5) Quadrant I (1)

Your friend says that he can get a dozen dvds from website for $90

Answers

                              *BEWARE*

                        The website probably sells pirated DVD

Answer:

He is wrong. The total cost would be $111

Step-by-step explanation:

Hope this helps!

Graph each set of integers on a number line.
7. (4, -3, 1,5)
-6-5-4-3-2-1 0 1 2 3 4 5 6
8. (-15, -12, -9, -2)
+++++
-14 -12 -10 8-6
H-
-2
4
9. (8,3, -7,-5)
-8 6 4
-2.
0
2.
4
6
8
10. 1-14, - 7, 10, -1)
++
-15
-12
9
3
0
3
6
9
11. 1-6, -1,0,31
-6-5-4-3-2-1 0 1 2 3 4 5 6

Answers

Answer:

-14 -12 -10 8-6

Step-by-step explanation:

what is the rule for this table, IN -7,0,2,13,14,18. OUT -18,-11,-9,2,3,7

Answers

9514 1404 393

Answer:

  y = x -11

Step-by-step explanation:

The table values don't have "nice" differences, so it is not easy to identify the pattern immediately. I found it worked to plot the points on a graph. This shows they are all on a line with a slope of 1. The point (0, -11) tells us that the y-intercept is -11.

A line with a slope of 1 and a y-intercept of -11 has the equation ...

  y = x - 11

HELPPPPPP ASAPPPPP!!!!!
Katie wants to buy a scooter. It costs $100. She has to wait until the scooter goes on sale for at least 35% off before she has enough money buy it. How much money does Katie have to buy the scooter?
$35.00
$60.00
$65.00
$75.00

Answers

Answer:

C) $65.00

hope that helps!

It would be $35.00. Convert fraction into 35/100

If AD : AB = 2 : 5, the coordinates of point F are . Point E has the coordinates (2.8, -3), and the coordinates of point D are .

Answers

Answer:

(4.4, -4.6) and (4.4, -1.4)

Step-by-step explanation:

Got a 100 on plato

Coordinates are usually denoted by (x,y) the x-value and y-value.

What is a Coordinate?

This has to do with the system which makes use of numbers or coordinates in order to find the location of a point.

Please note that your question is incomplete so I gave you a general overview to get a better understanding of the concept.

Read more about coordinates here:

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Which inequality is true?
–1.5 > –0.5
Negative one-half
–2.5 < –2
Negative 1 and one-half

Answers

Answer:

-2.5 < -2

Step-by-step explanation:

-3, -2.5, -2,...,0,1 ,2, 3, ...

Answer: the answer is -2.5 =2 1/2,  -0.5 <0, -2.5 <-2 im probably wrong but oh well...

Step-by-step explanation:

Solve for x in this equation: 3/4 +|5-x| = 13/4
Step 1: Isolate the absolute value by subtracting
from both sides of the equation.

Answers

Answer: this is correct

Step-by-step explanation:

It says it’s correct

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?

Answers

Answer:

4

Step-by-step explanation:

Don't let fractions fool you.

of a tank in  an hour is equal to:

1/12 of a tank in 20 minutes.

Thus we know in an hour, an oil company can fill 3/12 of a tank (60 minutes in an hour).

3 x 4 = 12, and 12/12 = 1(a whole tank), so we multiply 1 (hour) by 4.

Our answer is that it takes 4 hours to fill a tank.

Answer:

it's  1/3 ⋅ 12 hours

or

3 ⋅ 12 hours

Step-by-step explanation:

Write a story about temperatures that this expression could represent: ½ + (-¾)

Answers

Answer:

boom

Step-by-step explanation:

Answer:

so when your in the avatar state it is below zero, so you have to wear warm cloths

Step-by-step explanation:

Rewrite in simplest terms: -3(-8d – 1) + 2d

Answers

Answer:

26d+3

Step-by-step explanation:

first parentheses

-3×-8d=24d

remeber negative × negative = positive

-3×-1=3

24d+3+2d=

26d+3

I hope I helped! :)

6.34 1.645
10.3401-0.34
45

Answers

Step-by-step explanation:

dude wut r we suppose to do??

2. What is the slope of the line that passes through
the points (8,5) and (-4,-15)?

Answers

Answer:

m=5/3

Step-by-step explanation:

if that's not how you write it then try y=5/3x

What is happening to this graph when the rvalues are
between - 1 and 1?

Answers

Answer:

Where's The graph?

Step-by-step explanation:

Answer:

There is no graph post the graph

Step-by-step explanation:

a recipe for salsa is 65% tomatoes.if a batch contains 5.2 cups of tomatoes,how large is the batch of salsa. please help!!

Answers

Answer:

8 cups

Step-by-step explanation:

Let the total batch of salsa be x.

[tex]\frac{65}{100}[/tex]x = 5.2

[tex]\frac{100}{100}[/tex]x = [tex]\frac{100}{65}[/tex] × 5.2

x = 8

8 cups of tomatoes...

inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational​

Answers

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1  is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

Advertising. I know I have to write about advertising. What do I know about advertising? I know you have to market a product to a specific audience.
Advertising is used to sell things like soft drinks or cars. I think I need to narrow down my choices of what to advertise Advertisements can be written,
heard, or seen. Should I have a visual advertisement on a new brand of energy drink? Which prewriting strategy is shown above? (4 points)
• Brainstorming
O Freewriting
O Clustering
Journalist Questions

Answers

Answer:

i think brainstorming

Step-by-step explanation:

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