Question

Gwen used elimination with multiplication to solve the system:

2x + 6y = 3
x − 3y = −5
Her work to find x is shown. Complete the explanation of her error. Then solve the system. If necessary, enter your answer as a reduced fraction.
2(x − 3y) = −5
2x − 6y = −5
2x + 6y = 3
2x − 6y = −5
4x + 0y = −2
x = −2/4 Gwen forgot to multiply the right side by 2.
What is the solution as an ordered pair

Answer 1

The correct answer for this question is this one:

Gwen used elimination with multiplication to solve the system:
2x + 6y = 3
x − 3y = −5

Her work to find x is shown. Complete the explanation of her error. Then solve the system. If necessary, enter your answer as a reduced fraction.
2(x − 3y) = −5 --> 2(x-3y) = 2(-5)
2x − 6y = −5 --> 2x - 6y = -10
2x + 6y = 3 --> 2x + 6y = 3
2x − 6y = −5 --> 2x - 6y = -10
4x + 0y = −2 --> 4x = -7
x = −2/4 --> x = -7/4

x - 3y = -5
4(-7/4 - 3y = -5)
-7 - 12y = -20
-12y = -13
y = 12/13


Gwen forgot to multiply the right side by 2.
What is the solution as an ordered pair