Verified answer

Answer:

Step-by-step explanation:

Let us represent the fraction as .

Adding 3 to both numerator and denominator gives us .

Adding 7 to both numerator and denominator gives us

That means,

and

We can cross multiply the first equation; Evaluating and simplifying this gives us:

We can do the same to the second equation.

We have two variables, and two equations, we can use solve them via systems of equations.

We can solve this via elimination, multiplying the first equation by 3, then multiplying the second equation by -2.

Adding the two equations gives us

x = 5

We can substitute x = 5 to any of the systems of equations,

Adding 3 to both 5 and 9 will give us , which in lowest terms is .

Adding 7 to both 5 and 9 will give us , which in lowest terms is .

To know about systems of equations, click here:

brainly.ph/question/117908

brainly.ph/question/1926000