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

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

eyust707 · Answer

ohh okay so this is similar to the last few weve done

eyust707 · Answer

x − 2(5 − 2x) = 10

anonymous · Answer

did not distribute correctly, -2*5=-10

eyust707 · Answer

take a look at this step

eyust707 · Answer

awwe double drive gave away the answer =/

eyust707 · Answer

do you see where it went wrong?

anonymous · Answer

yeah , it should have been -10

eyust707 · Answer

yea exactly!