Answer:
To solve by using the elimination method you need to get one of the variables the same number (the x or y)
We are going to use the y because one is negative and the other is positive
-4x-15y=-17
-x+5y=-13
To get like terms on the y we are going to multiply the bottom equation by 3
(-x+5y=-13) *3
Your new equation would be
-3x+15y=-39 (now your equations look like this:
-4x-15y=-17
-3x+15y=-39
Now you can eliminate the y's by adding, so lets now add the two equations vertically
-4x-15y=-17
-3x+15y=-39
-4x+ -3x= -7x
-15y+15y=0
-17+ -39= -56
Your new equation is:
-7x=-56 (divide each side by a -7 to get x by itself)
x=8
Now you want to plug x in for the bottom equation to find your y so:
-(8) + 5y= -13
-8+5y=-13 (add 8 to both sides)
5y=-5 (divide each side by 5)
y=-1
Your answer is
(8, -1)
Hope this helps ;)
Step-by-step explanation:
