Solve for the variables: 2x+5y=37 11-2x=y

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.

x = 2.25

y=6.5

Step-by-step explanation:

2x+5y=37 y=11-2x

2x+5 (11-2x) = 37

2x+55-10x=37

-8x+55=37

-55 - 55

-8x=-18

:-8 : -8

x = 2.25

y=11-2x

y=11-2 (2.25)

y=11-4.5

y=6.5