Answer:
Your solution is (6, -7).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-8x - 5y = -13
-4x - 5y = 11
Let's change the second equation into one with one variable on each side.
-5y = 4x + 11
y = -4/5x - 11/5
Now, plug this into your first equation.
-8x - 5(-4/5x - 11/5) = -13
Distribute the -5 sign.
-8x + 4x + 11 = -13
Combine the like terms.
-4x + 11 = -13
-4x = -24
Isolate x by dividing both sides by -4.
x = -24/-4
x = 6
Now plug this back into either equation.
y = -4/5(6) - 11/5
Multiply.
y = -24/5 - 11/5
Subtract.
y = -35/5
Simplify.
y = -7
Your solution is (6, -7).
Check this by plugging in these values into the equation you have not checked yet.
-8(6) - 5(-7) = -13
-48 + 35 = -13
-13 = -13
Your solution is correct.
Hope this helps!
