How do you subtract fractions?

When subtracting factions you need to have both denominators be the same

Let's use an example. . .

Step-by-step explanation:

1.

We can see here our denominators aren't the same. To get them to be equal, we have to multiply them by each other.

2.

Notice that when we do multiply, we also have to multiply the top! What's done to the bottom needs to be done to the top.

3. Let's go into the multiplication:

On the left side

Numerator: 3 · 3 = 9

Denominator: 3 · 4 = 12

On the right side

Numerator: 4 · 1 = 4

Denominator: 4 · 3 = 12

4.

Now all we do here is subtract the numerator. The denominator does not get subtracted, it stays the same.

5.

Tada!

The most important thing to remember is

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