Question

in order to solve the following system of equation by addition which of the following could you do before adding the equations so that one variable will be eliminated when you add them? - 4x+3y=-11 over 3x-2y=8

Answer 1

Answer:

multiply equation (1) by 3 and equation (2) by 4

Explanations:

The system of equations is:

-4x + 3y = - 11...........(1)

3x - 2y = 8..............(2)

To make one of the variables to be eliminated on addition of the two equations, multiply equation (1) by 3 and equation (2) by 4

3 [ -4x + 3y ] = 3 (-11)

-12x + 9y = - 33.........(3)

4[3x - 2y ] = 4(8)

12x - 8y = 32................(4)

Adding eqaution (3) and (4)

y = -1

Substitute y = -1 into equation (2)

3x - 2(-1) = 8

3x + 2 = 8

3x = 8 - 2

3x = 6

x = 6 / 3

x = 2