Question

Solve the system of equations -x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 by combining the equations

Answer 1

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