3(2x-14) + x =15 -(-9x-5) how many solutions does this equations have

One solution

Step-by-step explanation:

First, multiply each term.

On the left hand side:

3 multiplied by 2x is 6x

3 multiplied by -14 is -42

6x-42+x is the result

On the right hand side:

Pretend that the negative sign is a -1.

Multiply -1 by -9x to get 9x. (A negative multiplied by a negative is positive)

Again, multiply -1 by -5 to get 5.

15 + 9x + 5 is the result

Next, combine like terms.

On the left hand side: 7x-42

On the right hand side: 9x + 20

Now, solve the equation.

7x-42 = 9x + 20

Subtract 7x from 9x, or 9x from 7x. You will get the same answer.

I'm using the example of subtracting 7x from 9x.

You would get:    2x + 20 = -42

Subtract 20 from -42 to get -62.

2x = -62

Divide both sides by 2.

You will get:  x = -31.

The answer is: it has one solution, -31.

(I wanted to solve the equation, but you would probably recognize that it has one solution after distributing and combining like terms.)

Hope this helped! Good luck :)

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).