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

Answer 1

same slope means they are either parallel or the same line. if the y-intercepts are different that means they are different lines. so lines with same slopes but different y-intercepts ALWAYS have no solution

got it?

Answer 2

thank you

Answer 3

welcome

Answer 4

@tiinylynn dont change the question. just post a new question

Answer 5

idont know how to o.o

Answer 6

close the question then post a new question

Answer 7

oh ok