Answer:
x = 2 , y = 7
Step-by-step 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.
[tex]2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = \frac{10}{5} \\ = 2[/tex]
Now we substitute x into equation 1 to find y.
[tex]y = 3(2) + 1 \\ = 6 + 1 \\ = 7[/tex]
Therefore x = 2, y = 7.
