$\dfrac{1}{x}+\dfrac{1}{a}=\dfrac{1}{b}\ \ \ |subtract\ \dfrac{1}{a}\ from\ both\ sides\\\\\dfrac{1}{x}=\dfrac{1}{b}-\dfrac{1}{a}\\\\\dfrac{1}{x}=\dfrac{a}{ab}-\dfrac{b}{ab}\\\\\dfrac{1}{x}=\dfrac{a-b}{ab}\Rightarrow\dfrac{x}{1}=\dfrac{ab}{a-b}\to\boxed{x=\dfrac{ab}{a-b}}$

4 0

3 years ago

What is the y value of the solution to this system of<br> equations?<br> y= 2x + 86<br> 4x + 5y = 24

kupik [55]

Answer:

Point Form:

(−29,28)

Equation Form:

x=−29,y=28

4 0

3 years ago

How do I solve 5a + 17 = 47

OleMash [197]

Hi there!

There are two steps to take when solving this equation, but before we even think about that, let's start by rewriting the equation.

5a + 17 = 47

Step 1) Subtract 17 from both sides.

5a + 17 - 17 = 47 - 17

5a = 30

Step 2) Divide both sides by 5.

5a/5 = 30/5

a = 6

So, your final answer therefore is

a = 6

Hope this helps!

TIP - This method can be used when solving any equation with 1 variable. :D

8 0

3 years ago

Read 2 more answers