Answer: x= 18/8 y = 13/2
Step-by-step explanation:
We know that y = 11-2x
So, you want to do the substitution method.
The equation states : 2x+5y = 37
So, you would substitute the y in the equation for 11-2x
2x+5(11-2x) = 37
2x+55-10x = 37 (combine like terms)
-8x +55 = 37 (subtract 55 from each side)
-8x = -18 ( divide -8 from each side)
x = 18/8
Now, we need to solve for y. For that, we just need to substitute the x in the y equation.
It would look like this: 11-2(18/8) =y
Now we solve.
11-18/4 = 13/2 (6.5)
So, y equals 13/2. Now to check , plug in each for the equation and see if it is correct.
