Carlos 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

He should have substituted 5 + 2x

He did not distribute correctly

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

He made no mistake

Question

Mathematics

Antonio

15 June, 11:28

Carlos 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

He should have substituted 5 + 2x

He did not distribute correctly

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

He made no mistake

+2

Answers (1)

Know the Answer?

Darien · Answer 1

We try to resolve the equations in our own to answer the question above.

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

Therefore, the correct answer among the choices is the second option. He did not distribute correctly.