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

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

anonymous · Answer

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

lalaly · Answer

5x - 10 = 10
5x = 0
x = 0

it should be
5x=10+10
5x=20
x=4