To find the difference of this problem, start by simplifying the denominator, which will look like $\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}$ . Next, multiply $\frac{3}{x+7}$ by $\frac{x-7}{x-7}$ to create a fraction with a common denominator in order to subtract from $\frac{42}{(x+7)(x-7)}$ . The problem will now look like $\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}$ .

Then, simplify the terms in the problem by first multiplying $\frac{3}{x+7}$ and $\frac{x-7}{x-7}$ , which will look like $\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}$ . The next step is to combine the numerators over the common denominator, which will look like $\frac{3(x-7)-42}{(x+7)(x-7)}$ .

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of $3(x-7)-42$ , which will look like $\frac{3(x-7-14)}{(x+7)(x-7)}$ . Then, subtract 14 from -7, which will look like $\frac{3(x-21)}{(x+7)(x-7)}$ . The final answer will be $\frac{3(x-21)}{(x+7)(x-7)}$ .

4 0

3 years ago

Solve for x. I need help with this problem. <br><br>

Advocard [28]

Answer:

x = 9

Step-by-step explanation:

Rule: the two interior angles F and E when added, equal <FGH.

6x + 16 + 60 = 13x + 13 Combine the terms on the left.

6x + 76 = 13x + 13 Subtract 13 from both sides.

6x + 76-13 = 13x Combine

6x + 63 = 13x Subtract 6x from both sides.

63 = 7x Divide by 7

63/7 = x

x = 9

7 0

3 years ago