4x plus 3y equals 1 y equals 2x-8 solve by subsituton?

Answer 1

4x + 3y = 1

y=2x-8

Substitute the known y value into the first equation to clear the variable.

4x + 3(2x-8)=1

Once the Y is cleared, it just becomes elementary algebra.

First multiply out the three.

4x + 6x - 24=1

Then Clear the negative 24 by adding it to both sides.

4x + 6x = 25

Combine like terms

10x = 25

and divide by 10 to get the value of x.

X = 2.5

Now that you know your X value, substitute that back into the either equation to get Y

Y=2(2.5) - 8

Y=5-8

Y=-3

or

1=3y + 4(2.5)

1= 3y + 10

-9=3y

y=-3