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shepuryov [24]
2 years ago
9

Solve the equation 4-2(x+7)=3(x+5) =

Mathematics
2 answers:
kumpel [21]2 years ago
8 0

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

KonstantinChe [14]2 years ago
8 0
4-2(x+7)=3(x+5)
4-2x-14=3x+15
2x-3x=15-4+14
-x=15
(x=-15)
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PLEASE HELP ASAP GIVING BRAINLIEST
Lady_Fox [76]

Answer:

Part 1) y=32.5x+11.95

Par 2) see the explanation

Part 3) \$401.95

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

y=mx+b    

where

m is the slope or unit rate

b is the y-intercept (one-time  processing fee)

In this problem we have

b=\$11.95

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values in the formula

m=\frac{239.45-141.95}{7-4}

m=\frac{97.5}{3}

m=32.5

substitute the values in the linear equation

y=32.5x+11.95

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

m=\$32.5\ per\ ticket

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time  processing fee

b=\$11.95

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

y=32.5(12)+11.95

y=\$401.95

3 0
3 years ago
X+10=2x-4 what does x=
kobusy [5.1K]
X=14

Step by Step

x+10=2x-4
-x. -x

10=x-4
+4. +4

x=14
4 0
2 years ago
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