# Algebra 1 : How to solve two-step equations

## Example Questions

### Example Question #31 : How To Solve Two Step Equations

Solve for :

The equation has no solution.

Explanation:

### Example Question #32 : How To Solve Two Step Equations

Solve for .

Explanation:

Notice that  can be canceled out by subtracting it from both sides.

Now, we can isolate . First, we need to get all the variables on the same side by adding  to each side.

Subtract  from both sides.

Finally, multiply both sides by .

### Example Question #33 : How To Solve Two Step Equations

Solve for :

The equation has no solution.

The equation has no solution.

Explanation:

This statement is identically false, so the original equation has no solution.

Solve for

Explanation:

Solve for

Explanation:

Solve for :

Explanation:

### Example Question #37 : How To Solve Two Step Equations

Solve for :

The solution set is the set of all real numbers.

The solution set is the set of all real numbers.

Explanation:

This statement is identically true; therefore, the solution set is the set of all real numbers.

### Example Question #38 : How To Solve Two Step Equations

Call the three angles of a triangle . The measure of  is twenty degrees more than that of ; the measure of  is forty degrees less than twice that of . What is the greatest measure of any of the three angles of the triangle?

Explanation:

Call the measure of  . Since the measure of  is twenty degrees more than that of , we can say that  has measure . Since the measure of  is forty degrees less than twice that of , we can say that  has measure

The sum of the measures of the three angles of a triangle is 180, so we can set up and solve an equation that sets the sum of these three expressions equal to 180:

Substitute 50 for  in the other two expressions:

The triangle has angles measuring , so the answer to the question is .

Solve for :

Explanation:

### Example Question #40 : How To Solve Two Step Equations

Find the value of  in the following linear equation and select the correct answer from the choices listed below.