Question

Jill wants to solve the following system using the elimination method: y = x + 8 y = 3x − 11 What number should the equation y = x + 8 be multiplied by to eliminate x? −1 −2 −3 3

Answer 1

y = x + 8
y= 3x - 11

u would multiply y = x + 8 by -3 to eliminate the x's

Answer 2

The equation y=x+8 has to be multiplied by -3 to eliminate x .

Explanation:

The given equations are :

y = x + 8 and y = 3x − 11.

The equations can be written as:

x-y=-8 and 3x-y=11.

To solve the equation by elimination we make the coefficients same with opposite sign and then add.This way the variable is elminated.

The coefficients of x are 1 and 3 .To eliminate the variable x we multiply equation y=x+8 or x-y=-8 by -3 .