Solving for Y Steps

Solve for y:

3x+y=4 ---> y=​ ​ (a)   x​​ (b)  

• -3

• +4

• -4

• 3

• 3/4

• 4/3

• -1/4

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​9-3y.

Fill in the blanks to plug that expression in and solve for y:

4(​ (a)   )-2​ (b)   =-6

36-​ (c)   y-2y=​ (d)  

36-​ (e)   =-6

• 9-3y

• y

• 12

• -6

• 14y

• x

• 10y

• x+3y

• 24y

In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=​9-3y. Fill in the blanks to plug that expression in and solve for y: 4(​9-3y)-2​y =-6 36-​12y-2y=​-6 36-​14y =-6 -14y=​ (a)   y=​ (b)  

• -42

• 3

• 30

• -3

Put the steps for solving by ELIMINATION in order:

• Multiply one or both equations by a number to get common but opposite coefficients

• Subtract the equations to eliminate one variable

• Solve for the remaining variable

• Make sure the equations are lined up

• Plug that number into either original equation and solve for the other variable

Solve for y
5x + y = -10

• y = 5x + 10

• y = -5x - 10

8x + 4y= 16

• y = -8x + 16

• y = 2x -4

• y = -2x + 4

• y = -8x + 12

Consider the system:

4x+3y=-1

5x+4y=1

Since we now know that x=-7, solve for y:

4(​ (a)   )+3y=-1

​ (b)   +3y=-1

​ (c)   =​ (d)  

y=​ (e)  

• -7

• -28

• 3y

• 27

• 9

• 5

• 7

• -12

• 3

• y

Let's solve a system by GRAPHING. Put the steps in order from first to last.

• The intersection point is the solution

• Solve both equations for y to get slope-intercept form

• Graph both lines using the slope and y-intercept

Solve for y:

4x-y=3 ---> y=​ (a)   x​ (b)  

• 4

• -3

• -4

• 3

• 3/4

• 4/3

• -1/4

y + 7 ≥ 12

• y ≥ 5

• y ≤ 5 

• y ≥ 19 

• y ≤ 19