Question

find two integers u and v such that 54u+24v=30

Answer 1

54u+24v=30

6(9u+4v)=30

9u+4v=30/6=5

not anyone can solve it ahead

Answer 2

The value of the integers are u = 1 and v = -1 for the equation

54u+24v = 30.

Given:

54u+24v=30, where u and v are two integers.

To Find:

The value of the two integers u and v.

Solution:

We are given that

54u+24v = 30.

On simplification, we get:

6(9u+4v) = 30

9u+4v = 30/6 = 5.

⇒ 6(9u+4v) = 30

9u+4v = 5.

Hence, we have to find the value of two integers such that 9u+4v = 5.

We will be using the trial and error method here.

Let us check the value of the above equation for u = 1 and v = -1.

9(1) + 4(-1) = 9-5 = 5.

⇒ u = 1 and v = -1 are the solution of the given equation.

∴ The value of the integers are u = 1 and v = -1 for the equation

54u+24v = 30.

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