Question

Breann solved the system of equations below. What mistake did she make in her work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2x) = 10 x − 10 + 4x = 10 5x − 10 = 10 5x = 20 x = 4 2(4) + y = 5 y = −3 (5 points) Select one: a. She should have substituted 5 + 2x b. She combined like terms incorrectly, it should have been 4x instead of 5x c. She subtracted 10 from both sides instead of adding 10 to both sides d. She made no mistake

Answer 1

No mistake

Explanation:

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2(5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

5x = 20

x = 4

2(4) + y = 5

y = -3

She made no mistake

You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.