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Write two solutions for each of the following equations$3x + 4y = 7$
Given:
$3x + 4y = 7$
To do:
We have to write two solutions for the given equation.
Solution:
$3 x+4 y=7$
Let $x=0$, this implies,
$3(0)+4 y=7$
$\Rightarrow 0+4 y=7$
$\Rightarrow 4 y=7$
$\Rightarrow y=\frac{7}{4}$
Therefore, $x=0, y=\frac{7}{4}$ is a solution of the equation $3 x+4 y=7$.
Let $y=0$, this implies,
$3 x+4(0)=7$
$\Rightarrow 3 x+0=7$
$\Rightarrow 3 x=7$
$\Rightarrow x=\frac{7}{3}$
Therefore, $x=\frac{7}{3}, y=0$ is a solution of the equation $3 x+4 y=7$.
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