Question

Solve each question for the indicated variable: 17.) 2x+3y=12;y​

Answer 1

x=
`(9)/(2) y` or y=
`(2)/(9) x`

Explanation:

Solving for (x)

Step 1: Add -3y to both sides.

2x+3y+−3y=12y+−3y

2x=9y

Step 2: Divide both sides by 2.

`(2x)/(2) = (9y)/(2)`

Solving for (y)

Step 1: Add -12y to both sides.

2x+3y+−12y=12y+−12y

2x−9y=0

Step 2: Add -2x to both sides.

2x−9y+−2x=0+−2x

−9y=−2x

Step 3: Divide both sides by -9.

`(-9y)/(9) = (-2x)/(9)`