How do you solve #(7x) /(2x+5) + 1 = (10x - 3) /( 3x)#?
The first thing you do is incorporate the 1 on the left side into the fraction. In order to do that you substitute it by a fraction that is the left denominator divided by itself, like this:
Now we can add the fractions on the left side. Since they have the same denominator, we only add the numerators.
Now we multiply both sides of the equation to remove the
Multiply the top on the left and we get:
Do the same thing with the left denominator. Multiply both sides by it in order to remove it.
Now we multiply out the right side:
Finally we can move everything from the right side of the equation to the left:
Now we have a single equation if the form of
Which means we can use the quadratic formula
When we plug in the numbers, we get: