Answer:
Your solution is (-11/6, 7/6).
Step-by-step explanation:
-2x + 2y = 6
4x + 2y = -5
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.
4x + 2y = -5
-1(4x + 2y = -5)
-4x - 2y = 5
Now we have a new equation in our system.
-2x + 2y = 6
-4x - 2y = 5
Now eliminate by performing each action given by the terms.
-2x + 2y = 6
-4x - 2y = 5
_________
-6x = 11
Divide both sides by -6.
x = 11/-6
Now that we know x, plug it back into one of the original equations to find y.
-2x + 2y = 6
-2(11/-6) + 2y = 6
Multiply.
-22/-6 + 2y = 6
22/6 + 2y = 6
Subtract 22/6 from both sides.
2y = 6 - 22/6
2y = 36/6 - 22/6
2y = 14/6
2y = 7/3
Divide both sides by 2.
y = (7/3)/2
y = 7/6
Your solution is (-11/6, 7/6).
Check your answer by plugging both values into one of the original equations.
4x + 2y = -5
4(-11/6) + 2(7/6) = -5
Multiply.
-44/6 + 14/6 = -5
Add.
-30/6 = -5
Divide.
-5 = -5
Your answer is correct.
Hope this helps!
