Two Step Variable Equations

Introduction to two step variable equations:

Two step variable equation is an equation which should be solve in two steps. In this, the equation will have one variable and the steps to solve in two steps leads to find the value of  that variable. In this addition, subtraction, multiplication and division involve to solve the equation for a variable.

Steps to Solve the Equations in Two Step Variable Equations:
Step 1: Write the equations.

Step 2: Adding or subtracting is the first step in two step equations.

Step 3: Dividing or Multiplication is the second step in two step equations.

Step 4: Simplify it.

First write the equation which is given .Then add or subtract the given two step of equations .Then divide and multiply is the second step of the equations and the final step is to simplify the given equation

Examples on Two Step Variable Equations:

1.Solve the equation 5x - 2 =8 in two steps.

Solution:

Given, 5x - 2 =8

Add 2 on both sides,

5x – 2 = 8

2    2

----------------

5x       =10

After adding 2 on both sides we have 5x=10

Now divide by 5 on both sides,

5x  =10

---    ----

5        5

X=2

The value of x is 2

2.Solve the equation 5x + 2 =12 in two steps.

Solution:

Given, 5x + 2 =12

Subtract 2 on both sides,

5x + 2 =12

-2    -2

----------------

5x       =10

After subtracting 2 on both sides we have 5x =10

Now divide by 5 on both sides,

5x  =10

---    ----

5        5

X=2

The value of x is 2

3.Solve the equation 2/3x - 2 =8 in two steps.

Solution:

Given, 2/3x - 2 =8

Add 2 on both sides,

2/3x - 2 =8

2   2

-----------------

2/3x      =10

After adding 2 on both sides we have 2/3x=10

Now multiply by 3/2 on both sides

3/2 × 2/3 x = 10 × 3/2

X=15

The value of x is 15

4.Solve the equation 2/3x + 2 =8 in two steps.

Solution:

Given, 2/3x + 2 =8

Subtract 2 on both sides,

2/3x + 2 =8

-2   -2

------------------

2/3x        =6

After subtracting 2 on both sides we have 2/3x = 6

Now multiply by 3/2 on both sides

3/2 × 2/3 x = 6 × 3/2

X=9

The value of x is 9.