SOLUTION: how do you solve for y in each of these equations . Giving 3 solutions to each equation. x-y= -5 -2x+y=7 3x-4y=12 -5x+3y=-15

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: how do you solve for y in each of these equations . Giving 3 solutions to each equation. x-y= -5 -2x+y=7 3x-4y=12 -5x+3y=-15       Log On


   



Question 653: how do you solve for y in each of these equations . Giving 3 solutions to each equation.
x-y= -5

-2x+y=7

3x-4y=12
-5x+3y=-15

Answer by janinecb(25) About Me  (Show Source):
You can put this solution on YOUR website!
It would probably be easier if one one question was posted at a time. Here goes my shot at answering all four of them.

Solve for y:
x - y = -5 This means to try to get y by itself, so subtract an x from each side.

-y = -x - 5 Don't forget the negative sign is still in front of the y. Next divide everything by -1.

y = x + 5 Now that the equation has been solved for y, plug in three different numbers for x to find three solutions to the equation.

y = 0 + 5
(0, 5)

y = 1 + 5
(1, 6)

y = 2 + 5
(2, 7)

Equation 2:
Solve for y:
-2x + y = 7 Try to get y by itself, so add 2x to both sides.

y = 2x + 7 Plug in three different numbers for x to find three solutions.

y = 2(0) + 7
y = 0 + 7
(0, 7)

y = 2(1) + 7
y = 2 + 7
(1, 9)

y = 2(2) + 7
y = 4 + 7
(2, 11)

Equation 3:
Solve for y:
3x - 4y = 12 Try to get y by itself. First subtract 3x from both sides.

-4y = -3x + 12 Divide everything by -4.

y+=+%283%2F4%29x+-+3 Now plug in three different numbers for x to find three solutions.

y+=+%283%2F4%29%280%29+-+3
y = 0 - 3
(0, -3)

y+=+%283%2F4%29%284%29+-+3
y = 3 - 3
(4, 0)

y+=+%283%2F4%29%28-4%29+-+3
y = -3 - 3
(-4, -6)

Equation 4:
Solve for y:
-5x + 3y = -15 Try to get y by itself. First add 5x to both sides.

3y = 5x - 15 Now divide everything by 3.

y+=+%285%2F3%29x+-+5 Now plug in three different numbers for x to find three solutions.

y+=+%285%2F3%29%280%29+-+5
y = 0 - 5
(0, -5)

y+=+%285%2F3%29%283%29+-+5
y = 5 - 5
(3, 0)

y+=+%285%2F3%29%28-3%29+-+5
y = -5 - 5
(-3, -10)

There are all four answers.