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kondaur [170]
2 years ago
13

Solve |x–1| = 6x + 12

Mathematics
1 answer:
frutty [35]2 years ago
3 0

Answer:

x =  -  \frac{11}{7}

Step-by-step explanation:

1) Break down the problem into these 2 equations.

x - 1 = 6x + 12

- (x - 1) = 6x + 12

2) Solve the first equation. x - 1 = 6x + 12

x =  -  \frac{13}{5}

3) Solve the second equation: -( x - 1 ) = 6x + 12.

x =  -  \frac{11}{7}

4) Collect all solution.

x =   - \frac{13}{5}. -  \frac{11}{7}

5) Check solution.

<em>When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.</em>

<em>When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.We will drop x=-\frac{13}{5}x=−513 from the solution set.</em>

6) Simplify.

x =  -  \frac{11}{7}

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>11</u></em><em><u>/</u></em><em><u>7</u></em><em><u>.</u></em>

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