1. Gina wrote this system of linear equations:

2x + y = 7

4x + 5y = 11

Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?


a) y = 7 – 2x
4x + 5(7 – 2x) = 11
4x + 25 – 10x = 11
25 – 6x = 11


b) y = 7 – 2x
4x + 5(7 – 2x) = 11
4x + 35 – 10x = 11
35 – 6x = 11


c) y = 7 – 2x
4x + 5 + (7 – 2x) = 11
2x + 12 = 11
2x = 12 – 11


d) x = 11 – 5y
4x + 5(11 – 5y) = 11
4x + 55 – 10x = 11
4x + 10x = 55 + 11

1 answer

Answer = b.