Solve the system of equations using substitution or elimination. show all work for credit. 3y=-1/2x+2 y=-x+9

Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:


Since both expressions are equal to y, you have to equal both expressions like this:

Now you can solve the equation:

Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result


So, the answer is x=10 and y=-1