Question

(04.03 LC

Given the following system of equations:
3x + 5y = 30
X + 3y = 10
Which action creates an equivalent system that will eliminate one variable when they are combined?​

Answer 1

Multiply the second equation by −3 to get −3x − 9y = −30.

Explanation:

Answer 2

multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so: -4y = -20