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Nata [24]
3 years ago
10

Is 3/x+4/y=2 linear or non-linear

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

The given equation is non-linear.

Solution:

Given expression is \frac{3}{x} +\frac{4}{y} =2.

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ \frac{3}{x} +\frac{4}{y} =2

Do cross multiply for the fractions to make the denominators same.

⇒ \frac{3y}{yx} +\frac{4x}{yx} =2

⇒ \frac{3y+4x}{yx} =2

Do cross multiplication.

⇒ 3y+4x=2yx

⇒ 4x+3y-2yx=0

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.

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- Cutiepatutie ☺❀❤

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