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masya89 [10]
3 years ago
11

Using the substitution method to solve the system. 5x+2y=5 x=3y-16

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0
5x+2y=5
x=3y-16
5(3y-16)+2y=5
15y-80+2y=5 collect the like terms
15y+2y=5+80
17y=85 divide both sides by 17
y=5

5x+2(5)=5
5x+10=5
5x=-5
x=-1
so x=-1 and y=5
seropon [69]3 years ago
6 0
5x + 2y = 5
Since, x = 3y - 16
Therefore,
5(3y - 16) + 2y = 5
15y - 80 +2y = 5
17y = 85
y = 5
therefore,
x = -1
y = 5
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Please help
denpristay [2]

9514 1404 393

Answer:

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Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

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  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

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The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

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The cost when the two plans cost the same is $73.80.

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