SOLVE TWO STEP EQUATIONS

Solve means finding the value of the variable in the equation. 

Here, you will learn how to solve (finding the value of the variable) an equation in two steps. 

Example 1 :

Solve for p : 

3p + 4  =  25

Solution :

3p + 4  =  25

Subtract 4 from each side.

3p  =  21

Divide each side by 3.

p  =  7

Example 2 :

Solve for m : 

7m - 5  =  30

Solution :

7m - 5  =  30

Add 5 to each side. 

7m  =  35

Divide each side by 7. 

m  =  5

Example 3 :

Solve for a : 

2a - 12  =  14

Solution :

2a - 12  =  14

Add 12 to each side. 

2a  =  26

Divide each side by 2. 

a  =  13

Example 4 :

Solve for x : 

5x + 3  =  18

Solution :

5x + 3  =  18

Subtract 3 from each side.

5x  =  15

Divide each side by 5.

x  =  3

Example 5 :

Solve for m :

-3(m - 2)  =  18

Solution :

-3(m - 2)  =  18

Divide each side by (-3). 

m - 2  =  -6

Add 2 to each side.

m  =  -4

Example 6 :

Solve for x : 

(x + 1)/7  =  2

Solution :

(x + 1)/7  =  2

Multiply each side by 7.

x + 1  =  14

Subtract 1 from each side. 

x  =  13

Example 7 :

Solve for x : 

5x + 3  =  17 - 2x

Solution :

3x + 3  =  2x + 17

Subtract 2x from each side.

x + 3  =  17

Subtract 3 from each side.

x  =  14

Example 8 :

Solve for y : 

y/3 + 1  =  2

Solution :

y/3 + 1  =  2

Subtract 1 from each side.

y/3  =  6

Multiply each side by 3.

y  =  18

Example 9 :

Solve for m : 

2m/5  =  6

Solution :

3m/5  =  6

Multiply each side by 5.

3m  =  30

Divide each side by 3.

m  =  10

Example 10 :

Solve for k : 

3k/2 - 2  =  4

Solution :

3k/2 - 2  =  4

Add 2 to each side.

3k/2  =  6

Multiply each side by 2/3.

k  =  4

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