Solving for a Variable

One step

100

m + 3 = 15

m = 12

200

x – 7 = 10

x = 17

300

-11 + q = -5

q = 6

400

c/7 = 10

c = 70

500

-3/2t = –9

t = 6

Two step

100

12 = 7a – 2

a = 2

200

-5 = 3c – 2

c = -1

300

–2 = m/3 + 4

m = – 18

400

–35 = –4x – 7

x = 7

500

4(z + 1) = 32

z = 7

Variables on both sides

100

13a – 14 = 10a – 2

a = 4

200

12a – 11 = 9a + 1

a = 4

300

26 + 5a – 10 = –4a + 1 + 4a

a = –3

400

6r + 2 – r = 2r + 4 + 3r

no solution (NS)

500

7m – 4m + 1 = 9m + 1 – 6m

All Reals

Solve for y

100

3x + y = -10

y = -3x -10

200

y - 5x = 9

y = 5x + 9

300

-2x + 2y = 18

y = 1x + 9

400

6x - 3y = -21

y = -2x + 7

500

4x + 1/2y = -10

y = -8x - 20

Mix

100

6x+2=8

x=1

200

1.5(p+3)=18 

p=9

300

2.9y+2.7=1.1y-9.9

y=-7

400

1/2(x - 14) = 1/2x - 3 - 5

No Solution

500

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

Infinitely Many Solutions