 # Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

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Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property of equality) 2x2x4 = Simplify. 2 2x2x = 2 4 Divide each side by 2. (Division property of equality) x2 = Simplify. Solve the equation. Check your solution. a. 512x2x=+ b. 1143x3x= –

Example 1 ANSWER The solution is 2. 55= Solution checks. Solving Two-Step Equations 3x3x15 = Simplify. 3 3x3x = 3 15 Divide each side by 3. (Division property of equality) Write original equation. 11 = b. 43x3x – 443x3x – + = 411 Add 4 to each side. (Addition property of equality) + Substitute 2 for x. 5 = CHECK 1+ 2 () 2 ?

Example 1 Solving Two-Step Equations x5 = Simplify. ANSWER The solution is 5. 11 = Solution checks. = Substitute 5 for x. 11 ? CHECK 4 3 () 5 –

Guided Practice ANSWER 4 for Example 1 1. Solve the equation Check your solution. 17. =53x3x +

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