Solving Linear Equations with Coefficients Represented by Letters

Addition & Subtraction: Solve for c

100

c+x+4=y

c=y-x-4

200

c-v+u=a

c=a+v-u

300

c+a+y=3

c=3-a-y

400

x-(c+u)=y

c=x-u-y

500

y-(-10-c)=z

c=z-y-10

Addition & Subtraction: Solve for x

100

y=c+u-x

x=c+u-y

200

8-a+x=-3

x=a-11

300

c+x+a=v

x=v-c-a

400

x-(c+a)=b

x=b+c+a

500

u=b-(c+x)

x=b-c-u

Addition & Subtraction: Solve for u

100

u-c+z=3

u=3+c-z

200

v=u-9+x

u=v+9-x

300

2=u-(c+x)

u=2+c+x

400

2u=4-(-u+c)

u=4-c

500

10-(-u+x)=-v

u=x-v-10

Multiplication & Division: Solve for v

100

vc=u

v=u/c

200

a/v=u

v=a/u

300

3v=u

v=u/3

400

u=y/v

v=y/u

500

6v=3x+12

v=(1/2)x+2

Multiplication & Division: Solve for a

100

2a-1=x

a=(1/2)x+1/2

200

(b/a)+3=x

a=b/(x-3)

300

8-5a=y+x

a=(-1/5)x-(1/5)y+(8/5)

400

1-(a/x)=6-y

a=-5x+xy

500

4+(y/a)-x=1

a=y/(x-3)