Answer :
Answer:
(x, y) = (3, 1/2)
Step-by-step explanation:
x + 2y = 4
2x - 2y = 5
There is more than one way to do this. I will do it by substitution.
From the first equation, x + 2y = 4, so x = (-2y) + 4
Now, in the second equation, I will replace x with (-2y + 4)
2(-2y + 4) - 2y = 5
-4y + 8 -2y = 5
-6y + 8 = 5
-6y = -3
6y = 3
y = 3/6
---------------------------------> y = 1/2, one part of the answer
Now I can go back to the first equation, and relpace 'y' with 1/2
x + 2(1/2) = 4
x + 1 = 4
-----------------------------------> x = 3, the other part of the answer
So now we believe the solution is (x, y) = (3, 1/2)
Now check the answer, back in the original equations!!
------> In the first equation, we would have 3 + 2(1/2) = 4.
3 + 1 = 4
That is true
-------> In the second equation, we would have 2(3) - 2(1/2) = 5
6 - 1 = 5
That is true
Our answer is found and checked.
(x, y) = (3, 1/2)