Answer:
x=1, y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
To solve by elimination, we pick a variable to eliminate, or get rid of. I will multiply the first equation by -2 so we can get rid of x
-2( 5x+y)=9
*-2
-10x -2y = -18
Now we add this equation to the second equation
-10x -2y = -18
10x-7y=-18
-------------------------
-9y = -36
Divide each side by -9
-9y/-9 = -36/-9
y =4
We still need to solve for x
5x+y=9
Put in y=4
5x+4 = 9
Subtract 4 from each side
5x +4-4 = 9-4
5x = 5
Divide each side by 5
5x/5 = 5/5
x=1
