Question 69376
4/x-7/=40
To do this you first isolate the absolute value:
{{{4*abs(x-7)/4=40/4}}}
{{{abs(x-7)=10}}} Then you realize that the inside of the absolute value can = -10 or +10 because when you take the absolute value of something it's always positve, so you have two problems to solve:
x-7=10 or x-7=-10
x-7+7=10+7 or x-7+7=-10+7
{{{highlight(x=17)}}} or {{{highlight(x=-3)}}}
To check your answers, let x=17 and -3 and see if the equation equals out in both cases.
4|17-7|=40 or 4|-3-7|=40
4|10|=40 or 4|-10|=40
4(10)=40 or 4(10)=40
40=40 or 40=40 We're right!!!
Happy Calculating!!!