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# Solve Two-Step Equations

Goal: Solve two-step equations.

IDENTIFYING OPERATIONS

Identify the operations involved in the equation Operations performed on x Operations to isolate x 1. Multiply by 3 . 2. Add 7 . 1. Subtract 7 . 2. Divide by 3 .

Example 1 Multiple Choice Practice

What is the value of x if  Solution Write original equation. Subtract 7 from each side. Simplify. Divide each side by 3 . Simplify The correct answer is A . CHECK Write original equation Substitute 4 for x. Multiply 3 by 4. Simplify. Solution checks.

Guided Practice Solve the two-step equation. Check your solution. Example 2 Solve a two-step equation by combining like terms

Solve 4a + 3a = 63.

Solution Write original equation. Combine like terms. Divide each side by 7 . Simplify.

Guided Practice Solve the equation. Check your solution. Example 3 Write an equation and solve

The value of y is 2 more than 4 times the value of x. Find x when y = 14.

Solution

 Step 1 Write an equation y is 2 more than 4 times x. Step 2 Solve the equation for x when y = 14. Write original equation. Substitute 14 for y. Subtract 2 from each side. Simplify. Divide each side by 4 . Simplify. The value of x is 3 when y = 14 . CHECK Write original function Substitute 14 for y and 3 for x Multiply 4 and 3 . Simplify. Solution checks.

Guided Practice Solve the equation. Check your solution.

Homework

7. The value of y is 3 less than 6 times the value of x.
Find x when y = 15.

x = 3