Question

PLEASE HELP
-6y=-3x+16
Show Work too please.

Answer 1

The solution to the equation is y=
`(1)/(2) x-(8)/(3)`

To solve the given equation, let's manipulate it to isolate either x or y. Here's the step-by-step solution:

−6y=−3x+16

Add 3x to both sides of the equation to get

−6y+3x=16.

−6y+3x=16

Divide both sides by −3 to isolate y.

`(-6x)/(-3) + (3x)/(-3)`​ = −
`(16)/(3)`

​Simplify the fractions:

2y−x=−
`(16)/(3)`

Now, if you want to express y in terms of x, you can isolate y by adding x to both sides:

2y=x−
`(16)/(3)`

​Finally, divide both sides by 2 to solve for y:

y=
`(1)/(2) x-(8)/(3)`

So, the solution to the equation is y=
`(1)/(2) x-(8)/(3)`