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Soloha48 [4]
3 years ago
14

Can someone help please?

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

(-1, 3)

Step-by-step explanation:

The given equation is 2x + y = 5.

Test whether (-1, 3) is a solution.  To do this, substitute -1 for x and 3 for y.  Does 2(-1) + 3 = 5?  No, it does not.  So this could be the correct answer choice.

Test whether (6, -7) is a solution.  Is 2(6) - 7 = 5 true?  Yes, it is.  So this is not a correct choice.

Test whether (3, -1) is a solution.  Is 2(3) -1 = 5?  Yes, it is.  So this is not a correct choice.

Summary:  The only answer choice that does NOT satisfy the given equation is the first one:  (-1, 3).

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Answer:

y = -1.2x + 30

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Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

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subtract 30 from both sides:  -26.4 = -1.2x

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Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

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