Trevor solved the system of equations below. What mistake did he make in his work?

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2 (5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

5x = 0

x = 0

2 (0) + y = 5

y = 5

Answer

He made no mistake

He subtracted 10 from the right side instead of adding 10 to the right side

He combined like terms incorrectly, it should have been 4x instead of 5x

He should have substituted 5 + 2x

Question

Mathematics

Kristian Hunter

30 April, 14:53

Trevor solved the system of equations below. What mistake did he make in his work?

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2 (5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

5x = 0

x = 0

2 (0) + y = 5

y = 5

Answer

He made no mistake

He subtracted 10 from the right side instead of adding 10 to the right side

He combined like terms incorrectly, it should have been 4x instead of 5x

He should have substituted 5 + 2x

+4

Answers (1)

Know the Answer?

Susan Trujillo · Answer 1

The answer is He subtracted 10 from the right side instead of adding 10 to the right side

2x + y = 5

x - 2y = 10

y = 5 - 2x

x - 2 (5 - 2x) = 10

x - 10 + 4x = 10

5x - 10 = 10

Here, he should add 10 to the right side:

5x = 10 + 10

5x = 20

x = 4

y = 5 - 2*4 = 5 - 8 = - 3