What is the value of y in the solution to the system of equations?
1/3x + 1/4y=1
2x - 3y = -30
a. -8
b. -3
c. 3
d. 8

Their is the system of linear equations and .

The solution of the given system of equation is 8. The correct answer is option D.

Given equations:

Let

            ...........(i)

        ..........(ii)

Look for terms that can be eliminated. The equations do not have any x or y terms with the same coefficients.

Multiply the equation (i) by 12 so they do have the same coefficient.

          .............(iii)

Adding equation (ii) and equation (iii)

  ------------------------

Substitute x = -3 into one of the original equations to find y.

Therefore, the answer is the option D

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Keywords

system of equations, linear equation, elimination method

we have

Multiply by both sides

-----> linear equation A

-----> linear equation B

Applying the elimination method for solve the system of equations

Adds equation A and equation B

Find the value of y

therefore

the answer is the option D

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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step-by-step explanation: