Question

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

Answer 1

Answer: x= 18/8 y = 13/2

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.

Answer 2

x= 2.25

y=6.5

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