Question

Zina solves a system of linear equations by elimination and finds that the solution to a system is (2, 2). One of the equations is a + b = 4. Which answer could be the other equation?
a + 3b = 4
2a + 2b = 2
4a + 4b = 8
a + 3b = 8

Answer 1

Answer: a + 3b = 8

Step-by-step explanation:

a + b = 4 is true, since (2,2) works:  2 + 2 = 4

Try (2,2) in the options to find which one is true for (2,2):

A)  2 + 3*2 = 4?  No.

B)  4 + 4 = 2?  No.

C)  8 + 8 = 8?  No.

D)  2 + 6 = 8?  YES.

Therefore, a + 3b = 8 can be another valid equation.

Answer 2

Answer:

D. a + 3b = 8