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Solve an equation by multiplying by a reciprocal EXAMPLE 5 SOLUTION Write original equation. x = 4x = 4 2 7 – x = 4. 2 7 – Solve 7 2 – The coefficient.

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Presentation on theme: "Solve an equation by multiplying by a reciprocal EXAMPLE 5 SOLUTION Write original equation. x = 4x = 4 2 7 – x = 4. 2 7 – Solve 7 2 – The coefficient."— Presentation transcript:

1 Solve an equation by multiplying by a reciprocal EXAMPLE 5 SOLUTION Write original equation. x = 4x = – x = – Solve 7 2 – The coefficient of x is. 7 2 – The reciprocal of. 2 7 – is ( ) ( x ) = 2 7 – 7 2 – 7 2 – 4 2 Multiply each side by the 7 – reciprocal,.

2 Solve an equation by multiplying by a reciprocal EXAMPLE 5 x = –14 Simplify. ANSWER The solution is –14. Check by substituting –14 for x in the original equation. CHECK Write original equation. Substitute –14 for x. 4 = 4 Simplify. Solution checks. x = 4x = – (–14) = 4 ? 2 7 –

3 GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. w = ANSWER 12

4 GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. p = ANSWER 21

5 GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution =9 = –3 4 m ANSWER –12

6 GUIDED PRACTICE for Example 5 Solve the equation. Check your Solution. 16. –8 = –4 5 v ANSWER 10


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