Identify the solution set 2(-x -9) = -2x + 8

Mathematics

1 answer:

Paha777 [63]3 years ago

6 0

The answer is only one solution

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Solve the proportion 15/6 = 10/p

V125BC [204]

Answer:

p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

15p/15 = 60/15

p = 4

The solution is p = 4.

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

For example, to solve ...

2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

Any proportion can be written 4 ways:

$\dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}$