Answer:
(5,7)
Step-by-step explanation:
4x+y=27
5x-y=18
Since we want to solve this by elimination we need the lines to be in the same form, and a column with opposite variables or same variables. We actually have both of these.
Both equations are in the form ax+by=c.
The column that contains the y's, we have opposites there. That is the opposite of y is -y. When you add opposites, you get 0.
So we just add vertically now.
4x+y=27
5x-y=18
--------------Add
9x+0=45
9x =45
Divide both sides by 9:
x =45/9
Simplify:
x =5
Now to find y, you just need to use one of your equations (just pick one) along with x=5.
I guess I will choose 4x+y=27 with x=5.
4x+y=26 with x=5
4(5)+y=27
20+y=27
Subtract 20 on both sides:
y=27-20
y=7
So the solution (x,y) is (5,7).
