Solving Rational Equations with One Variable
You don't want to leave a bunch of unsolved rational equations sitting around.
|Algebra||One-Variable Equations and Inequalities|
Seven over two v, plus one over four, equals seventeen over four v.
Solving for v will tell us the number of viewers.
How many viewers will be tuning in to Brian's show?
Not counting yourself, of course.
Here are your options.
First, Brian has to find the lowest common multiple, or LCM, of the denominator.
This is only slightly more difficult than counting his brother's brain cells.
The lowest common multiple is 4v.
To get 4v in the denominator, we have to multiply 2v by 2.
And whatever you do to the bottom, you have to do to the top.
So we can multiplying seven over 2v by two over two to get fourteen over 4v.
To get 4v on the bottom of this fraction, multiply one over four
by v over v, which is one, giving us v over 4v.
Seventeen over four-v is fine. We don't need to change it.
Since every term in the equation is over 4v,
we can just multiply the equation by 4v to get rid of it.
Now we're left with fourteen plus v equals seventeen.
Subtract 14 from both sides to isolate v...
v equals seventeen minus fourteen, which is three.
So the answer is A. Three.
I guess only you and your cats watch your show.