Question

Solve the literal equation for y.

1. y + 5x = 17
2. 4y - 36x = 28
3. 8x - 11 = 13 + 8y
4. 6+ y = 10 + 12x​

Answer 1

1)
`y=17-5x`

2)
`y=9x+7`

3)
`y=x-3`

4)
`y=12x+4`

Explanation:

1) We have
`y+5x=17`

subtract 5x from both sides to get

`y=17-5x`

2) We have
`4y-36x=28`

Add 36x to both sides to get:

`4y=36x+28`

Divide through by 4 to get:

`y=9x+7`

3) We have
`8x-11=13+8y`

Subtract 13 from both sides of the equation.

`8x-24=8y`

Divide through by 8

`x-3=y`

Swap both sides of the equation

`y=x-3`

4) We have 6+y=10+12x

Subtract 6 from both sides of the equation

`y=10-6+12x`

`y=4+12x`

`y=12x+4`