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# Using the substitution method how would you solve the linear system?

2c-d= -2

4c+d=20

### 2 Answers

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- 1 decade agoFavorite Answer
Number your equations first, to keep track of them.

1. 2c-d=-2

2. 4c+d=20

Solve one of them for d. I'll use the first:

1. 2c-d=-2

2c+2=d

Put that into the second formula as d.

2. 4c+d=20

4c+(2c+2)=20

Solve for c.

6c+2=20

6c=18

c=3

Once you've got c, all you have to do is put it back into one of the equations and find d.

1. 2c-d=-2

2(3)-d=-2

6-d=-2

6+2=d

8=d

These lines cross at the point (3,8)

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