examples of rational equations
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Example 1: Solve: 5x−13=1x 5 x − 1 3 = 1 x .
Solution: We first make a note that x≠0 x ≠ 0 and then multiply both sides by the LCD, 3x:
Example 2: Solve: 2−1x(x+1)=3x+1 2 − 1 x ( x + 1 ) = 3 x + 1 .
Solution: In this example, there are two restrictions, x≠0 x ≠ 0 and x≠−1 x ≠ − 1
Step-by-step explanation:
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Step-by-step explanation:
Examples..
Solve ..
Multiply both sides of the equation by the common denominator.
7x – 14 + 5x + 10 =10x – 2 12x – 4 =10x – 2 Simplify
12x – 10x – 4 = 10x – 10x – 2 2x – 4 = -2 2x – 4 + 4 = -2 + 4 2x = 2 x = 1 Solve for x Check to be sure that the solution is not an excluded value. (It is not.)
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