Question

Terry solved the system of equations below. What mistake did he make in his work?

3x + y = 6
x − 2y = 2

y = 6 − 3x
x − 2(6 − 3x) = 2
x − 12 − 6x = 2
−5x − 12 = 2
+12 +12
negative 5 x over negative 5 equals 14 over negative 5
x = −2.8

3(−2.8) + y = 6
−8.4 + y = 6
+8.4 +8.4
y = 14.4

A)He should have substituted 6 + 3x.

B)He combined like terms incorrectly. It should have been 5x instead of −5x.

C)He made a mistake in distributing −2.

D)He made no mistake.

Answer 1

C. He made a mistake in distributing

Answer 2

C)He made a mistake in distributing −2.
It should have been...
x − 2(6 − 3x) = 2 => x − 12 + 6x = 2

Answer 3

THANK YOU!!!

Answer 4

no problem :)

Answer 5

u r welcome...☺