Answer: x = 13 and y = -2
Step-by-step explanation:
You need to use the elimination method for each equation, so that means being able to cross them out by equaling them to 0. You can choose x value or the y value, since you need to do 2 things to the y value I will show you an easier way with the x value since it is equal to one in the top equation.
Looking at the bottom equation, you need to find a way to set the x equation to cross 2x out making it 0. Removing x from this, how can you make 2 end up being 0? Subtract 2 from it, but x is not -2 on the first equation, so you have to times everything in that equation by -2 to make x -2.
so basically,
-2(x + 3y = 7)
your new equation is
-2x -6y = -14
put your other equation under it to eliminate the x value finally.
-2x -6y = -14
2x + 2y = 6
so you only need to combine like terms. X is no longer included because x is eliminated.
-4y = 8
divide to find the value of y
Y = -2
plug your newly found equation in for y in the original equation (either one is fine.
x + 3(-2) = 7
x -6 = 7
add 6 to both sides
x = 13
