Solve for Y in terms of x. Keep numbers as integers and fractions?

Question

a) 2x- 3y = 12

b) 5x + 2y = 7

Answer 1

a) 2x- 3y = 12

   adding 3y to each side, and subtracting 12 from each side...

   3y= 2x- 12

  now divide by 3...

y= (2/3)x - 4

b) 5x+ 2y= 7

subtract 5x from each side...

2y= 7- 5x

now divide by 2 to get y by itself....

y= (7/2) - (5/2) x

done!

Answer 2

Solving for y in terms of x means that you want y seperated from everything else, but you can still use x's in your answer.

For problem a just subtract 2x from both sides to get -3y=12-2x. Next you want to divide by -3 on both sides to get y by itself. This gives you y=(12-2x)/-3. This is your answer.

For b, do the same. Subtract 5x from both sides to get 2y=7-5x. Next divide by 2 on both sides. Your answer is y=(7-5x)/2.

Hope this helps!