Answer:
[tex]\huge\boxed{\sf Solution Set = \{(-2,5)\}}[/tex]
Step-by-step explanation:
Given equations:
-4x + 3y = 23 ---------------------------(1)
x - y = -7 ---------------------------------(2)
Multiply Eq(2) by 3
3(x - y) = -7 * 3
3x - 3y = -21 ---------------------------(3)
Add Eq (1) and (3)
-4x + 3y + 3x - 3y = 23 + (-21)
Cancel out 3y
-4x + 3x = 23 - 21
- x = 2
Or
x = -2
Finding y:
Put x = -2 in Eq. (2)
-2 - y = -7
Add 2 to both sides
-y = -7 + 2
-y = -5
Divide both sides by -1
y = 5
So,
Solution Set = {(x,y)} = {(-2,5)}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
