Question

Solve -3y+1=7-2x for y

Answer 1

• 
  `\boxed{\sf{y=-(-2x+6)/(3) }}`

Explanation:

Given:

• Isolate the term of x and y from one side of the equation.

To find:

• The value of y.

Solutions:

-3y+1=7-2x

First, you have to subtract by 1 from both sides.

`\Longrightarrow: \sf{-3y+1-1=7-2x-1}`

Solve.

`\Longrightarrow: \sf{-3y=-2x+6}`

Then, you divide by -3 from both sides.

`\Longrightarrow: \sf{(-3y)/(-3)=-(2x)/(-3)+(6)/(-3)}`

Solve.

Divide these numbers from left to right.

`\Longrightarrow: \sf{-(2x)/(-3)+(6)/(-3)}`

`\Longrightarrow: \sf{(-2x+6)/(-3)}`

`\Longrightarrow: \sf{=-(-2x+6)/(3)}`

`\Longrightarrow: \boxed{\sf{y=-(-2x+6)/(3)}}`

`\text{Therefore, the correct answer is {y=-$(-2x+6)/(3)$}}}}`.

I hope this helps, let me know if you have any questions.