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

Verified Answer :

Hagrid

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