Question

Give the sum of the solutions of the equation l x+6l=5

Answer 1

Answer:

13

Step-by-step explanation:

The equation | x | = k , k ≥ 0 is equivalent to x = k or x = - k ... The solutions to the given equation are x = 1 and x = -13. Matched Exercise

           

Answer 2

Answer:

Solution to Example 1:

If |x + 6 | = 7, then (see rule 5 above)

a) x + 6 = 7

or

b) x + 6 = -7

Solve equation a)

x + 6 = 7

x = 1

Solve equation b)

x + 6 = -7

x = -13

Check solutions:

solution x = 1

Left Side of Equation for x = 1.

|1 + 6 |

= | 7 |

= 7

Right Side of Equation for x = 1.

7

x = -13

Left Side of Equation for x = 1.

|-13 + 6 |

= | -7 |

= 7

Right Side of Equation for x = 1.

7