Question

3x + y = 8. -x - 2y = -10

Answer 1

assumin we solving for the intersection or solution

elimination, ya


eliminate y's

multiply firs equation by 2 and add to 2nd

we get
6x+2y=16
-x-2y=-10 +
5x+0y=6

5x=6
divide both sides by 5
x=6/5

sub back
-x-2y=-10
-6/5-2y=-10
times both sides by 5
-6-10y=-50
add 6 to both sides
-10y=-44
divide both sides by -10
y=44/10
y=22/5


(x,y)
$(\frac{6}{5},\frac{22}{5})$
or
(1.2,4.4)