Question

Solve the system using substitution.
y - 3x = 1
2y - X = 12
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Answer 1

x = 2 , y = 7

Explanation:

Since

y-3x = 1

y = 3x+1 - equation 1

2y-x = 12 - equation 2

Since we are using substitution method,

we will substitute equation 1 into equation 2.

`2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = (10)/(5) \\ = 2`

Now we substitute x into equation 1 to find y.

`y = 3(2) + 1 \\ = 6 + 1 \\ = 7`

Therefore x = 2, y = 7.