It is easy to see that, the second equation, after
factorization, will look
like:
5(x-y)=10
We'll divide
it by 5 and we'll
get:
x-y=2
The first equation
looks like:2x + 3y = 2
We'll try to reduce the unknown y,
by multiplying the equation x-y=2 by 3 and, after that, we'll add it to the equation 2x
+ 3y =
2.
3x-3y+2x+3y=6+2
After
reducing the terms 3y and -3y, we'll
get:
5x=8
x= 8/5
= 1.6
Now, we'll find out y by substituting
x into the
equation:
x-y=2
1.6 - y =
2
We'll subtract 1.6 both
sides:
-y = 2 - 1.6
-y =
0.4
We'll multiply both sides by
(-1).
y=-0.4
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