Question

Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?

Answer 1

Multiply the 2nd equation by -3 to get -3x-12y = -48.

Answer 2

The given two equations in two variable are

3 x + 5 y- 29=0-----(1)

x + 4 y - 16=0--------(2)

To eliminate the variable, x we can proceed as follows

Equation (1) × 4 - Equation (2) × 5 =Variable x

7 x=36

To eliminate the variable y, we can proceed as follows

Equation (1)× 1 - Equation (2) ×3 = variable y

7 y=19