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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


He should have substituted 5 + 2x

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

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

He made no mistake ...?

Verified Answer :

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

Let's solve it:
2x + y = 5
x − 2y = 10
________
Rearrange first equation to get y:
y = 5 - 2x
________
Substitute y into the second equation:
x - 2(5 - 2x) = 10
________
Multiply the terms:
x - 10 + 4x = 10
________
Combine the terms:
5x - 10 = 10
________
Add 10 on the both sides of the equation:
5x = 10 + 10
5x = 20
x = 4

Answer:

Give the guy above me Brainlyist

Step-by-step explanation: