Answer:
Solution: x= -36, y=51
Step-by-step explanation:
Solve the system:
x + y = 15
-5x - 3y = 27
By using the reduction method.
Multiply the first equation by 3:
3x + 3y = 45
Add it to the second equation:
3x - 5x = 45 + 27
Simplifying:
-2x = 72
Dividing by -2:
x = 72/(-2)
x = -36
From the first equation:
-36 + y = 15
Adding 36:
y = 15 + 36 = 51
y = 51
Solution: x= -36, y=51
