Question

-x+y=15−x+y=15 and -5x-3y=27−5x−3y=27

Solve the system of equations by combining the equations

Answer 1

x = -9, y = 6.

Explanation:

-x + y = 15

-5x - 3y = 27

From the first equation:

y = x + 15.

Substituting for y in second equation:

-5x - 3(x + 15) = 27

-8x - 45 = 27

-8x = 72

x = -9.

Now plug x = -9 into equation 1

-(-9) + y = 15

y = 15 -9 = 6.