Question

Stella solves the following system of equations using the substitution method.

y=−4x−65x−y=10

What is the single-variable equation she solves after substituting?

5x−4x−6=10
5x−(−4x−6)=10
5x+10=−4x−6
5x+10=−(4x−6)

Answer 1

5x - (-4x - 6) = 6

Explanation:

Answer 2

5x-(-4x-6) = 10

Explanation:

Given the expression

y=−4x−6 ..... 1

5x−y=10... 2

To get the required equation we will substitute equation 1 into 2

5x-y = 10

5x-(-4x-6) = 10

5x+4x+6 = 10

9x+6 = 10

9x = 4

x = 4/9the required equation is 5x-(-4x-6) = 10