Which of the following is a solution of $3 x + 2 y = 25$

(4, 5)

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(6, 4)

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(5, 5)

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(4, 6)

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Solution

The correct option is C $(5, 5)$
Consider the equation $3 x + 2 y = 25$ and substitute $x = 5$ and $y = 5$ in the equation as follows:
$(3 \times 5) + (2 \times 5) = 25 \Rightarrow 15 + 10 = 25 \Rightarrow 25 = 25$
which is true.
Hence, $(5, 5)$ is the solution of the equation $3 x + 2 y = 25$ .

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