Question

LINEAR EQUATIONS
Solve : 5x + 6 = 41 ​

Answer 1

5x+6=41

5x=41-6

5x=35

x=35÷5

x=7

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Answer 2

Step-by-step explanation:

Imagine a number line. The definition of abs value is the distance from zero, so when dealing with abs value equations you have to set up 2 different equations.

$5x + 6 = 41$

and

$5 + 6 = - 41$

so the distance from zero means from both the positive and negative directions

$= \geqslant 5x - + 6 = 41 \\ 5x = 35 \\ x = 7 \\ \\ = > 5x + 6 = - 41 \\ 5x = - 47 \\ x = \frac{ - 47}{5} \\ = - 9.4$

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