Question

Consider the equation 2x + 2y=8.

Write an equivalent equation by multiplying the equation by 3.
Does the equation have the same solution set?
6x+ 2y = 24, yes it has the same solution se
2x + 6y =8, no it doesn't have the same solution set.
6x+ 6y = 24, no it doesn't have the same solution set.
6x + 6y = 24, yes it has the same solution set!
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Answer 1

A) 6x + 6y = 24, Yes, they have the same solution set

Explanation:

Let's first start by multiplying the equation by 3:

(2*3)x + (2*3)y = 24

6x + 6y = 24

Now lets find the solution set for both:

6y = -6x + 24

y = -x +4

2y = -2x + 8

y = -x +4

Yes, they have the same solution set