Question

Find the solution of the system of equations.

x-y=-3
-8x+y=45

Answer 1

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

$\frac{2y}{2} = \frac{56}{2}$

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!