Question

the linear equation 5x=2y has how many solutions
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Answer 1

Answer:

#answerwithquality #BAL

Step-by-step explanation:

It has infinitely many solutions because we can put any value in the place of x and y

Answer 2

Infinite number of solutions

EXPLANATION:

The given linear equation is

5x = 2y

Let y = k be any arbitrary value.

Then 5x = 2k

or, x = 2k/5

We see that for arbitrary values of k, we can find infinite number of solutions for x and y.

Therefore the given equation has infinite number of solutions.

Examples:

From above, we find solutions

x = 2k/5 and y = k

• When k = 0, x = 0 and y = 0

• When k = 1, x = 2/5 and y = 1

• When k = 2, x = 4/5 and y = 2

• When k = - 1, x = - 2/5 and y = - 1 etc.