SOLUTION: Solve x/4=-6 Show all work

Algebra ->  Equations -> SOLUTION: Solve x/4=-6 Show all work      Log On


   



Question 117113: Solve x/4=-6
Show all work

Found 2 solutions by MathLover1, bucky:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solve:
x%2F4=-6.....multiply both sides by 4
%28x%2F4%294=-6%2A4
x=-24

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
x%2F4=-6
.
To solve for x you can begin by recognizing that you can get rid of the denominator
on the left side by multiplying both sides by 4 as follows:
.
%284%2Ax%29%2F4=4%2A%28-6%29
.
On the left side, the 4 in the denominator divides into the 4 in the numerator, a division that
results in 1 times x. You can look at this as just canceling the 4 in the denominator with
the 4 in the numerator as follows:
.
%28cross%284%29%2Ax%29%2Fcross%284%29+=4%2A%28-6%29
.
After "crossing out" the 4 in the denominator with the corresponding 4 in the numerator, you
are left with just x on the left side. So you have:
.
x+=+4%2A%28-6%29
.
Multiply out the right side. 4 times -6 is -24 and you can substitute -24 for the multiplication
and you have the answer:
.
x+=+-24
.
That's the answer ... and how you get it step by step.
.
Hope this helps you to understand the problem and a few of the procedures you can use solve
equations.
.