Question

Find the x-intercept and the y-intercept. then graph the equation. 11x+6y=-22

Answer 1

`x = (-6)/(11)y - 2`

`y = (-11)/(6)x + (-11)/(3)`

Explanation:

Let's solve for x.

`y = (-11)/(6)x + (-11)/(3)`

Step 1: Add -6y to both sides.

11x+6y+−6y=−22+−6y

11x=−6y−22

Step 2: Divide both sides by 11.

`(11x)/(11) = (-6y - 22)/(11)`

`x = (-6)/(11)y - 2`

Let's solve for y.

11x+6y=−22

Step 1: Add -11x to both sides.

11x+6y+−11x=−22+−11x

6y=−11x−22

Step 2: Divide both sides by 6.

`(6y)/(6) = (-11x - 22)/(6) \\`

`y = (-11)/(6)x + (-11)/(3)`