What adding and subtracting with unlike denominator is

We can only add and subtract fractions that have the same bottom numbers. If fractions have the same bottom numbers, we can add them by just adding the top numbers and and keeping the original bottom number.

If they don't have the same bottom number, we have to find the least common denominator for those fractions which is simply the least common multiple of the two or how ever many fractions there are.

For example, to add 1/2 and 1/3, we find the least common

denominator, which is 6, and we want to get a 6 in the denominator.

When we have the same denominator, just add

the numerators and keep the original denominator.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions