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 2 years ago
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
 2 years ago
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

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azolotor
 2 years ago
Best ResponseYou've already chosen the best response.1He made no mistakes. Follow through his work and do it yourself and you will find that those answer are correct. You could also plug the values in for x and y and see if they check out.

phi
 2 years ago
Best ResponseYou've already chosen the best response.15x − 10 = 10 5x = 0 Do you see anything wrong with this step? I do.

Solmyr
 2 years ago
Best ResponseYou've already chosen the best response.0i do see that i didnt see that before

phi
 2 years ago
Best ResponseYou've already chosen the best response.1what happens if you add +10 to both sides? Like this: 5x − 10 +10 = 10+10

azolotor
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry, he is right. I should have been wearing my glasses.

phi
 2 years ago
Best ResponseYou've already chosen the best response.1do you see that 10 +10 is 0 ? 5x − 10 +10 = 10+10 becomes 5x = 10+10

phi
 2 years ago
Best ResponseYou've already chosen the best response.1and 10+10 is 20 so you get 5x=20 which does not match what Tevor did in the problem
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