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1 year ago

2x/3 + 5 = 11x/15 + 14

Mathematics

1 answer:

oksano4ka [1.4K]1 year ago

6 0

Step-by-step explanation:

Given:

$\frac{2x}{3} + 5 = \frac{11x}{15} + 14$

Multiply both sides of the equation by the common denominator :

$\frac{2x \times 15}{3} + 5 \times 15 = \frac{11x \times 15}{15} + 14 \times 15$

After doing maximum cancellations,

$= > 10x + 5 \times 15 = 11x + 14 \times 15$

$= > 10x + 75 = 11x + 210$

$= > 10x - 11x = 210 - 75$

$= > - x = 135$

$= > x = - 135$

Hence, value of x is -135

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And for the other part of the question if x =15 we got:

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Step-by-step explanation:

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

Solution to the problem

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

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