Question

Line A is represented by the equation given below: x + y = 4 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) Group of answer choices 4x + 4y = 4 4x + y = 4 2x + 2y = 8 x + y = 8

Answer 1

2x+2y = 8

Explanation:

Simply multiply the first equation x + y=4 by 2:

x + y=4
*2 *2

(x + y)2 = 8

2x+2y = 8

x + y = 4 and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8