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Published byJustin Douglas Modified over 4 years ago

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Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of equality: Subtract 7 from each side. x = –3x = –3 Simplify. ANSWER The solution is –3.

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Solve an equation using subtraction EXAMPLE 1 CHECK Substitute –3 for x in the original equation. x + 7 = 4x + 7 = 4 Write original equation. –3 + 7 = 4 ? Substitute – 3 for x. 4 = 44 = 4 Simplify. Solution checks.

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Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x – 12 = 3 Write original equation. x – 12 = 3 Add 12 to each side. + 12 x = 15 Simplify. x = 15 x – 12 + 12 = 3 + 12

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Solve an equation using division EXAMPLE 3 Solve –6x = 48. –6x = 48 x = –8 Write original equation. –6x –6 48 –6 = Divide each side by –6. Simplify.

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GUIDED PRACTICE for Examples 1, 2, and 3 1. y + 7 = 10 ANSWER 3 Solve the equation. Check your solution.

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2. x – 5 = 3 GUIDED PRACTICE for Examples 1, 2, and 3 8 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 3. q – 11 = –5 for Examples 1, 2, and 3 6 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 4. 6 = t – 2 for Examples 1, 2, and 3 8 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 5. 4x = 48 for Examples 1, 2, and 3 12 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 6. –65 = –5y for Examples 1, 2, and 3 13 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 7. 6w = –54 for Examples 1, 2, and 3 –9–9 ANSWER Solve the equation. Check your solution.

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GUIDED PRACTICE 8. 24 = –8n for Examples 1, 2, and 3 –3–3 ANSWER Solve the equation. Check your solution.

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