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WILL GIVE BRAINLIEST!! 20 POINTS


Carlos solved the system of equations below. What mistake did he make in his work? (5 points)
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

A: He should have substituted 5 + 2x
B: He did not distribute correctly
C: He combined like terms incorrectly, it should have been 4x instead of 5x
D: He made no mistake

Respuesta :

Answer:

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.




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