Question

3x+5=9-4y solve for y

Answer 1

Hello!

Answer:

`\Large \boxed{\sf y = 1 - 0.75x}`

Explanation:

→ We want to solve y in this equation:

`\sf 3x+5=9-4y`

◼ Subtract 5 from both sides:

`\sf 3x+5-5=9-4y-5`

◼ Simplify both sides:

`\sf 3x=4-4y`

◼ Subtract 3x from both sides:

`\sf 3x-3x=4-4y-3x`

◼ Simplify both sides:

`\sf0=4-4y-3x`

◼ Add 4y to both sides:

`\sf0+4y=4-4y-3x+4y`

◼ Simplify both sides:

`\sf4y=4-3x`

◼ Divide both sides by 4:

`\sf (4y)/(4) = (4-3x)/(4)`

◼ Simplify both sides:

`\boxed{\sf y = 1 - 0.75x}`

Conclusion:

In the equation 3x + 5 = 9 - 4y, y is equal to 1 - 0.75x.

Answer 2

y =
`(4-3x)/(4)`

Explanation:

given

3x + 5 = 9 - 4y ( add 4y to both sides )

4y + 3x + 5 = 9 - 4y + 4y ( simplify )

4y + 3x + 5 = 9 ( subtract 5 from both sides )

4y + 3x + 5 - 5 = 9 - 5 ( simplify )

4y + 3x = 4 ( subtract 3x from both sides )

4y + 3x - 3x = 4 - 3x , that is

4y = 4 - 3x ( isolate y by dividing both sides by 4 )

`(4)/(4)` y =
`(4-3x)/(4)` , then

y =
`(4-3x)/(4)`