What is the value of x in the solution to the system of equations below?
15x - 12y = 13

30x + 9y = 4

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3


Related Questions

Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

please help

Answers

Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

Process of elimination shows that the most reasonable answer is A.

answers for both boxes please ​

Answers

Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Solving systems using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Substitute in y:                    2x = -3x - 15Isolate x terms:                   5x = -15Isolate x:                              x = -3

Step 3: Solve for y

Define equation:                     y = 2xSubstitute in x:                        y = 2(-3)Multiply:                                   y = -6

Solve.
-5 3/4 - 3 1/2

Answers

Answer:

The answer is

[tex] - 9 \frac{1}{4} [/tex]

45 marbles in 9 bags; 150 marbles in 36 bags
is this rate proportional?

Answers

Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

Amory ate
1/4
of a box of cereal. Blaine
ate 2/9
of the same box. What fraction of
the box of cereal did they eat together?

Answers

Answer:

they ate 17/36 of the box together

Step-by-step explanation:

I need help now btw i am in middle school

Answers

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

HELP IT NOT FORM IT FOR MY LITTLE SIS IM TO LAZY PLEASE HELP!!!!
1. 1/2 x 2/3
2.1/2 x 2/3 x3/4
3. 1/5 x 1/2 x 7/8
4. 1/8 x 4/7
5. 2/3 x 1/6
6. 2/5 x 1/4
7. 7/54 x 9/49
caculate
1. [tex](2/3)x^{2}[/tex])
2. [tex]1 1/2x^{2}[/tex]

Answers

1. 2/6
2. 1/4
3. 7/80
4. 4/15
5. 2/18
6. 2/20
7. 63/2,646

Can someone help me with this ???

Answers

The equation is
Y=-3/1 +2
Y-Intercept at (0,2)

GIVING BRAINLY AND THANKS find the value of x show your work

Answers

the answer is 60. x=60

find the estimates of x^2-x-2=3

Answers

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

f(x)=5(X-2)^2+4
Find vertex, Direction of parabola, and axis of symmetry

Answers

The vertex is ( 2,4)
The axis of symmetry is 2 .
Direction of parabola ( i don’t know sorry )

Help pls I will mark as brainlest if correct

Answers

Answer:

The slope is [tex] \frac{3}{8} [/tex].

Step-by-step explanation:

Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Just plug in.

[tex]m = \frac{ - 7 - ( - 10)}{0 - ( - 8)} = \frac{3}{8} [/tex]

majorly confused about this and how to solve.​

Answers

Answer:

The answer is 59.5


Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?

Answers

Kim will pay $25 because 30-5=25

Emily will pay $22.50 because 25•.90=22.5

25-22.5=2.5

the difference is $2.50

2. Which is the correct set up for the quadratic formula to solve the equation below: *
(2 Points)
= 2x2 + 10x + 8
8(x)
O
x =
-10 + 102 -4(2)(8)
2(2)
x =
-10 /10--4(2)(8)
2.
O x=
10 / 102 -4(2)(8)
2(2)
x =
-10 +102 +4(2)(8)
2(2)

Answers

-10 +102 +4(2)(8) vsvshbdnndbsbbhdhhd

please help me i will brainliest i swear

Answers

Answer:

B

Step-by-step explanation:

In 3y+1, the 3 is the coefficient

what is the volume of the rectangular prism?

Answers

35 cm is the answer

Answer:

3[tex]\frac{3}{4}[/tex] cm³

Step-by-step explanation:

A ton might weigh 2000 pounds. How many six grades might weigh 2000 pounds?

Answers

Answer:

25

Step-by-step explanation:

An average 6th grader weight 80 pounds and 2000/80 is 25

25 six graders might weigh 2000 pounds, considering the average weight of a six grader is 80 pounds.

Average is the mean value of the data. It is a measure of central tendency.

Given the following information:

A ton might weigh 2000 pounds.

We need to find the total number of six graders require to collectively weigh 2000 pounds.

Let the total number of six graders require = x

Consider the average weight of a six grader is 80 pounds.

Total weight=  average weight of a six grader x  total number of six graders x

Total weight=  80x

2000=80x

To calculate the value of x, divide 80 both the sides.

2000/80=80x/80

25=x

x=25

Thus, 25 six graders might weigh 2000 pounds.

Learn more about average, here:

https://brainly.com/question/32511583

#SPJ6

Can somebody who knows how to do this plz help answer all the questions correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

17. $30

18. $2.24

19. 5

20. $2.2815 or rounded to $2.28

I think I’m right

Answer:

17. 30

18. 14

19. 5 hours

20. 15

Step-by-step explanation:

find the measure of the missing angles

Answers

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

they’re both 80 :)

because of where 100 is you can make a line where b and c are. a straight line is 180 so you subtract from 100 to get 80

What is an equation that represents a non proportional relationship???
I really need help(I know nothing about proportional and non proportional equations)

Answers

When b does not equal 0 it’s a non proportional relationship
y=mx+b

i need help please right answers only

Answers

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

what is the answer to..
Negative 10 is no less than 2 times a number plus 14​

Answers

-10 ≥ 2x + 14
-24 ≥ 2x subtract 14 from both sides
2x ≤ -24 read right to left
x ≤ -12 divide both sides by 2

i hope this helped! <3

Work out
2/5
of 60
Pls work this out. It’s urgent!

Answers

answer is 24.

firsty remember OF= MULTIPLY

NOW we can calculate this easily

here the equation is given

2/5×60. u can solve this in given ways below….…..

1……….

u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.

2……….

u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4

and now u r left with 0.4×60

so after multiplying it comes 24.0

and that is equal to 24. (because after decimal zeros has no value)

3……….

and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.

Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands

Answers

Answer:

Tens

Step-by-step explanation:

The 5 in 51 should be above the nine

Answer:

B.

Step-by-step explanation:

2,495 ÷ 48 is 51.97

the tens is the largest place value so thats where you would start

The circumference of a circle is 9.37cm.
Find the length of the diameter.
Give your answer rounded to 2 DP

Answers

Answer:

9.37 divide by two = 4.685

4.685 in 2DP = 4.68

Step-by-step explanation:

i hoped this helps.

Answer:

2.98 :)

Step-by-step explanation:

the circumference is when you do pi times diameter.

do 9.37 divided by 3.14(pi) to work out the diameter.

9.37/3.14=2.984

rounded its 2.98

1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC

Answers

Answer:

its the last one maybe

DC

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Answers

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?

x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles

Answers

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

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