What is the solution of the equation $3 x + 7 y = 30$ if $x = y$ ?

$(1, 1)$

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$(2, 2)$

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$(3, 3)$

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$(4, 4)$

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Solution

The correct option is C
$(3, 3)$

Substiuting $x = y$ in the equation $3 x + 7 y = 30,$ we get
$3 x + 7 x = 30.$
$\Rightarrow$ $10 x = 30$
$\Rightarrow$ $x = 3$
Thus, $x = y = 3.$
In other words, $(3, 3)$ is a solution of the equation $3 x + 7 y = 30.$

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