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Alja [10]
3 years ago
10

3x+15=8x+25 please help

Mathematics
2 answers:
andriy [413]3 years ago
8 0

3x+15=8x+25

3x-8x=-5x

15-25=-10

-5x/-5=-10/-5

Answer is 2

madreJ [45]3 years ago
6 0

Hello! :)

Answer:

\boxed{X=-2}

<u><em>*The answer must have A NEGATIVE SIGN ONLY!*</em></u>

Step-by-step explanation:

First, you subtract by 15  from both sides of an equations.

3x+15-15=8x+25-15

Subtract numbers from left/right.

25-15=10

3x=8x+10

Then, you subtract by 8x both sides of an equation.

3x-8x=8x+10-8x

Simplify.

-5x=10

Divide by -5 from both sides of an equation.

\frac{-5x}{-5}=\frac{10}{-5}

Divide by the numbers from left/right.

10/-5=-2

\boxed{X=-2}, <em>is the CORRECT/FINAL ANSWER!</em>

<em>Hope this helps you! </em>

<em>Have a nice day! :)</em>

<em>:D</em>

<em>-Charlie</em>

<em>Thanks!</em>

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Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}

This can also be represented with:

\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}

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In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

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  • The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

  • (200, 23)
  • (500, 35)

Now, we can name our coordinates. We use this system:

  • (x₁, y₁)
  • (x₂, y₂)

This means that we can name our points:

  • x₁ = 200
  • y₁ = 23
  • x₂ = 500
  • y₂ = 35

Revisiting the rate of change formula, we can insert these values.

\displaystyle \frac{y_2-y_1}{x_2-x_1}

\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

\bullet \ \ \ y = mx + b

We already know m:

\displaystyle \bullet \ \ \ \frac{1}{25}

We also know x and y (we take them from of the coordinate pairs):

\bullet \ \ \ x = 200

\bullet \ \ \ y = 23

Now, we can substitute these values into the equation and solve for b.

\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15

Now, we can set up our linear equation.

\displaystyle y = \frac{1}{25}x + 15

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43

Therefore, the price of 700 business cards is equal to $43.

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