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Multi-Step Equations w/ only one variable
Number of Solutions
Solve for x
Solve for y
More than 2 variables
100

Solving Equations

5n - 2 = 8n - 14

n = 4

100

4 = 3(-8 + x)

One Solution

100

4(6 + 5x) = 124

x = 5

100

3y-4x=-18

Solve for y

y=4/3x-6

100

ax – 13 = 11

solve for x

x= 24 / a

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

200

4x+6=4x-6

No Solution 

200

4(6y + 3x) = -12

Solve for x

x = -1-2y

200

3y+4-4y=6x+16

Solve for y

y=-6x-12

200

bx+g=14

solve for b

b=(14-g)/x

300

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

300

6x-3(1+2x)=x+3

one solution

300

5x-6y=10-2y

Solve for x

x=2+4/5y


300

3(y+4x)-y=2x+16

Solve for y

y=-5x+8

300

3yx=27y

Solve for x

x=9

400

Solving Equations

6(5n - 2) =  - 42

n = -1

400

2(5x+10)-18=22+10(x-2)

All real Numbers or infinite Solutions

400

3y+4x-y+4=x+25

Solve for x

x = -2/3y+7

400

5-y=3(y+x)-5x+13

Solve for y

y=1/2x-2

400

(x/(3a)) +g=-8

Solve for x

x= -24a-3ag

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

500

4(y-2x)-4y+x=-2(x+1)-5x

No solution

500

3(y+4x)-y=2(5x+6)

Solve for x

x = -y+6

500

y(x-1)+3x+3=5x+3

Solve for y

y=(2x)/(x-1)

500

a=((x+y)h)/2

Solve for h

h=(2a)/(x+y)