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Example Questions
Example Question #1156 : Algebra
Solve:
We want to isolate the x. First, we take away 3 from both sides. Then we have:
To get x by itself, we multiply by the reciprocal on both sides.
Then, we have:
Example Question #2 : How To Solve For A Variable As Part Of A Fraction
If , then what is the value of ?
38/3
3/38
7/12
9/114
none of these
38/3
cross multiply:
(6)(19) = 9x
114=9x
x = 38/3
Example Question #1 : How To Solve For A Variable As Part Of A Fraction
Find x.
None
Cross multiply:
Example Question #3 : How To Solve For A Variable As Part Of A Fraction
The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.
Let numerator = N and denominator = D.
According to the first statement,
N = (D x 5) + 4.
According to the second statement, N / 2 = 3 * D.
Let's multiply the second equation by –2 and add itthe first equation:
–N = –6D
+[N = (D x 5) + 4]
=
–6D + (D x 5) + 4 = 0
–1D + 4 = 0
D = 4
Thus, N = 24.
Therefore, N/D = 24/4 = 6.
Example Question #11 : How To Solve For A Variable As Part Of A Fraction
Solve for x:
In order to solve for x, you must cross multiply the ratio first. They will be equal to each other.
, you then can add 3x to both sides and 402 to both sides as well. You are left with:
divide both sides by 9 to get the final answer: