SOLUTION: If x - 9 ________ = 3 How, by what process, do you solve for x? Thanks, frank x + 4

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Question 70721: If x - 9
________ = 3 How, by what process, do you solve for x? Thanks, frank
x + 4

Found 2 solutions by checkley75, bucky:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(x-9)/(x+4)=3 now cross multiply we get
3(x+4)=x-9
3x+12=x-9
3x-x=-9-12
2x=-21
x=-21/2
x=-10.5 answer
proof
(-10.5-9)/(-10.5+4)=3
-19.5/-6.5=3
3=3

Answer by bucky(2100) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-9%29%2F%28x%2B4%29=3
.
Start by getting rid of the denominator x%2B4%29 on the left side. Do this by the means
of multiplying both sides of this equation by x%2B4. When you do the equation becomes:
.
%28x%2B4%29%2A%28x-9%29%2F%28x%2B4%29=+3%2A%28x%2B4%29
.
Notice on the left side that the denominator and numerator both contain x%2B4 and they
can be canceled because %28x%2B4%29%2F%28x%2B4%29+=+1. After that cancellation, the left side is
just x-9. The right side can be multiplied out. When it is, the resulting product is
3x+%2B+12. This makes the equation:
.
x-9+=+3x+%2B+12
.
Get rid of the 9 on the left side by adding +9 to both sides of the equation. On the left
side the +9 cancels with the -9 and you are just left with x. On the right side the +9
combines with the +12 to become 21. So the right side is 3x%2B21 and the equation is:
.
x+=+3x+%2B+21
.
Remove the 3x from the right side by adding -3x to both sides. On the right side, the
-3x cancels the +31 and you are left with just +21. On the left side the -3x adds to
the +x and the result is -2x. Now the equation has been reduced to:
.
-2x+=+21
.
To solve for x just divide both sides by -2. The left side becomes just x and the right
side becomes -21%2F2+=+-10.5. This makes the answer to the problem:
.
x+=+-10.5
.
Hope this gives you some insight into the problem. Denominators can be removed by finding
a way to multiply them out of existence.