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Reptile [31]
3 years ago
14

How do u substitute?

Mathematics
1 answer:
pshichka [43]3 years ago
8 0
Hi again!

2x - y = 80
5y = x

P.S. Are you struggling with Algebra, equations and inequations....my advice to you is to start using Khan Academy. It will help you a lot!

Ok stop talking and let's get to work!

We need to solve 2x - y = 80 for y

2x - y = 80

-y = 80 - 2x

Multiply both sides by -1 because y cannot be negative

-y * -1 = -1(80 - 2x)

y = 2x - 80

Now we can substitute 2x - 80 for y in 5y = x

5y = x

5(2x - 80) = x

Use the distributive property

(5)(2x) + (5)(-80) = x

10x - 400 = x

Add -x on both sides

10x - 400 - x = x - x

9x - 400 = 0

Add 400 on both sides

9x - 400 + 400 = 0 + 400

9x = 400

Divide both sides by 9

9x/9 = 400/9

x = 400/9

To find y, we can substitute 400/9 for x in y = 2x - 80

y = 2x - 80

y = 2(400/9) - 80

y = 800/9 - 80

y = 800/9 - 80/1

y = 800/9 + -720/9

y = (800 - 720)/9

y = 80/9

Thus,

The answers are: y = 80/9 and x = 400/9

As always, it is my pleasure to help students like you
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Answer:

y-intercept = 3

The y-intercept represents the initial fee before any miles are traveled.

Step-by-step explanation:

By definition, the <u>y-intercept</u> is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The coordinates of the y-intercept is (0, <em>b </em>).

Looking at your graph, it shows that the line crosses the y-axis at (0, 3). Therefore, the y-intercept = 3.

The y-intercept represents the initial fee before any miles are traveled. This means that the taxi ride already has a set amount of $3, regardless of the number of miles traveled. This is added to the total cost of the taxi fare, which is represented by y.

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3 years ago
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Steven estimates how long his computer repairs will take. He discovers that ABC Tech and Tech Squad will charge the
katrin2010 [14]

You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.

ABC Tech ------- $20 service charge plus $15 per hour.

Tech squad ------- $30 service charge plus $10 per hour.

Answer:

Steven's estimate of the repair time is 2 hours.

Step-by-step explanation:

Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.

Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:

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3 years ago
-8x - 11x<br> I really need help
Tema [17]

Answer: -19x

Step-by-step explanation: In this problem, we're asked to simplify the expression.

The two parts of this expression, -8x and 11x are called terms. The numbers in front of the variables are called coefficients.

Because the variables, x and x are identical, the terms get a special name and they're called like terms.

To subtract like terms, we simply subtract their coefficients and add the variable on to the difference of the two numbers.

Since -8 (-11) is -19, -8x - 11x simplifies to -19x.

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Elan Coil [88]

Answer:

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Step-by-step explanation:

1. Place the numbers in order from smallest to biggest.

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Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.

Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.

Finding the mode- This one is easy. It's simply the number that repeats itself the most. In this case it would be 6 because it repeats itself 3 times.

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