It is easiest to do elimination
4x-y=-5
(-2x+3y=10)2
4x-y=-5
-4x+6y=20
5y=15
y=3
4x-1(3)=-5
4x-3=-5
+3 +3
4x=-2
x=-1/2
answer: (-1/2, 3)
It is easiest to do elimination
4x-y=-5
(-2x+3y=10)2
4x-y=-5
-4x+6y=20
5y=15
y=3
4x-1(3)=-5
4x-3=-5
+3 +3
4x=-2
x=-1/2
answer: (-1/2, 3)
Thanks, TR.....I'll do it by substitution just so you can have two different methods to look at
4x-y=-5 → y = 4x + 5 (1)
-2x+3y=10 (2)
Substitute (1) into (2) for y
-2x + 3(4x + 5) = 10 simplify
-2x + 12x + 15 = 10
10x + 15 = 10 subtract 15 from both sides
10x = -5 divide both sides by 1
x = -5/10 = -1/2
And using (1) y = 4(-1/2) + 5 = -2 + 5 = 3