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Charra [1.4K]
3 years ago
12

Identify the x- and y- intercepts of this equation. 5x − 4y = 20

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

The x – intercept is 4 and y – intercept is – 5 for the given equation 5x - 4y = 20

<h3><em><u>Solution:</u></em></h3>

Given that , a line equation is 5x – 4y = 20  

We have to find y – intercept and x – intercept of the above line equation.

Now, we know that, x – intercept is  value of x when line meets x – axis.

Here, y becomes 0 when line meets x – axis, so put y = 0 in equation

5x - 4(0) = 20

5x = 20

x = 4

So, x – intercept is 4.

Now, we know that, y – intercept is  value of y when line meets y – axis.

Here, x becomes 0 when line meets y – axis, so put x = 0 in equation

5(0) – 4y = 20

- 4y = 20

y = -5

So, y – intercept is - 5

Hence, the x – intercept is 4 and y – intercept is – 5 for the given equation.

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Answers:

It costs $15 for one adult

It costs $10 for one child

===========================================

Work Shown:

x = cost for one adult ticket (in dollars)

y = cost for one child ticket (in dollars)

"it costs $35 for one adult and two children" so the first equation is x+2y = 35. Solve for x to get x = -2y+35 (subtract 2y from both sides). We'll use this equation later. See the "replacement" step below.

"it costs $60 for two adults and three children" so the other equation to set up is 2x+3y = 60

Use the substitution rule to get rid of the x (replace it with something equivalent in terms of y) then isolate y

2x+3y = 60

2( x )+3y = 60

2( -2y+35 )+3y = 60 ... replace x with -2y+35

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-y+70 = 60

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-y = -10

y = 10

Since y = 10, it costs $10 for one kid to get a ticket.

If y = 10, then x must be...

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x = -2*10+35 ... replace y with 10

x = -20+35

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Since x = 15, it costs $15 for one adult ticket.

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4 years ago
PLEASE HELP ASAP!!! 7TH GRADE MATH
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Answer:

answer is $330

Step-by-step explanation:

If you are ever dealing with percentages always put them into a decimal itll make things a lot easier

how you do that is 55/100 which is 0.55

then just multiply by the original number  

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