Question

URGENT

Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?

Equation 1: 3x+2y=9

Equation 2: -x+3y=8

A) -3x+3y=8

B) -3x-9y=24

C) 3x+9y=24

D) 3x-9y=-24

Answer 1

Equation 2 after being multiplied is -3x + 9y = 24.

Step-by-step explanation:

In order for the x terms to sum to 0 when the equations are combined, we need to find the multiplication factor that will make the coefficients of the x terms cancel each other out. Since the coefficient of x in Equation 2 is -1, we need to multiply the entire equation by 3 to make it positive. This gives us Equation 2: -3x + 9y = 24.