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PilotLPTM [1.2K]
3 years ago
6

2x - 3y = 8 // Find y

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

y = -\frac{2}{3} x - \frac{8}{3}

Step-by-step explanation:

2x - 3y = 8\\

Isolate y

-3y = 8-2x\\-3y = -2x+8

Divide both sides of the equation by -3

\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}

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Answer:

a). Mileage for carA= \frac{2}{x}  , and mileage for carB=\frac{ 3x+2}{x(x+1)}

b).total mileage for both is similar to average of them= \frac{(mileageA + mileageB)}{2}

=\frac{5x+4}{2x(x+1)}[tex]mil/gal

Step-by-step explanation:

It is given that the distance traveled by car A=2x+2=2(x+1)

And distance traveled by car B= 3x+2

We know the mileage is mile/gallon,

a).So mileage of car A= \frac{distance traveled by car A}{gallos of fuel used}

=\frac{2x+2}{x^2 +x}\\ =\frac{2(x+1)}{x(x+1)} \\=\frac{2}{x}mil/gal

Similarly , the mileage for car B= \frac{distance traveled by car A}{gallons of fuel used}

=\frac{3x+2}{x^2+x} \\=\frac{3x+2}{x(x+1)}mil/gal

b).total mileage for both is similar to average of them= \frac{(mileageA + mileageB)}{2}

=\frac{2x+2}{x(x+1)}+\frac{3x+2}{x(x+1)}\\ =\frac{2x+2+3x+2}{x(x+1)}\\=\frac{5x+4}{x(x+1)}mil/gal

Now divide by 2 for total(average) mileage.

\frac{\frac{5x+4}{x(x+1)} }{2}\\ =\frac{5x+4}{2x(x+1)} mil/gal.

Thus those are the answers.

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3 years ago
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