Answer:
Your solution is (-10, 6).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-5x + y = 56
x + y = -4
Let's change the second equation into one with one variable on each side.
y = -x - 4
Now, plug this into your first equation.
-5x + (-x - 4) = 56
Distribute the + sign.
-5x - x - 4 = 56
Combine the like terms.
-6x - 4 = 56
-6x = 60
Isolate x by dividing both sides by -6.
x = -10
Now plug this back into either equation.
-10 + y = -4
Add 10 to both sides to find y.
y = 6
Your solution is (-10, 6).
Check this by plugging in these values into the equation you have not checked yet.
-5(-10) + (6) = 56
50 + 6 = 56
56 = 56
Your solution is correct.
Hope this helps!
Answer:
x=-10; y=6
Step-by-step explanation:
combine the equations:
-5x + y + x + y = 56 +(-4)
-4x + 2y = 52
add 4x to each side
2y=52+4x
divide by 2
y=26+2x
now substitute 26+2x for y in the second equation:
x + 26 + 2x = -4
3x + 26 = -4
3x = -30
x = -10
therefore y = 6
