how do you solve 6x-2y=-12 when x=6y-19

I cannot solve this equation and i need help with it
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1 Answer

6x-2y=-6 can be simplified by dividing through by 2: 3x-y=-3.
Take the value of x=6y-19 in the equation: 3(6y-19)-y=-3.
18y-57-y=-3, so 17y=57-3=54. From this y=54/17 (or 3 3/17). Since 3x=y-3, 3x=54/17-3=(54-51)/17=3/17 and x=1/17.
Let's see if these values fit the equations: 6x-2y=-6 becomes 6/17-108/17=-102/17=-6. Correct!
6y-19 becomes 324/17-19=(324-323)/17=1/17=x. Correct!
by Top Rated User (1.2m points)

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