|5x-7|=|3x+11|

Answer 1

5 x - 7 = 3 x + 11

OR

- ( 5 x - 7 ) = 3 x + 11

Possibility 1:

5 x - 7 = 3 x + 11

Try to solve this equation.

The solution is x = 9

Possibility 2:

- ( 5 x - 7 ) = 3 x + 11

Try to solve this equation as well.

The solution is x = - 1 / 2

So the solutions are:

x = - 1 / 2 and x = 9

Check answers.

| 5 x - 7 | = | 3 x + 11 |

for x = - 1 / 2

| 5 ∙ ( - 1 / 2 ) - 7 | = | 3 ∙ ( - 1 / 2 ) + 11 |

| - 5 / 2 - 7 | = | - 3 / 2 + 11 |

| - 5 / 2 - 14 / 2 | = | - 3 / 2 + 22 / 2 |

| - 19 / 2 | = | 19 / 2 |

19 / 2 = 19 / 2

| 5 x - 7 | = | 3 x + 11 |

for x = 9

| 5 ∙ 9 - 7 | = | 3 ∙ 9 + 11 |

| 45 - 7 | = | 27 + 11 |

| 38 | = | 38 |

38 = 38