Reduce the system of linear equations to upper triangular form and solve. begin{cases}5x-3y=22x+7y=3end{cases}

Reduce the system of linear equations to upper triangular form and solve. $\left\{\begin{array}{l}5x-3y=2\\ 2x+7y=3\end{array}$
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Bella
System becomes
$5x-3y=2$
$\frac{6}{5}y+7y=-\frac{4}{5}+3$
$\frac{41}{5}y=\frac{11}{5}$
$y=\frac{11}{5}\cdot \frac{5}{41}=\frac{11}{41}$
$5x-3\cdot \frac{11}{41}=2$
$5x-\frac{33}{41}=2$
$5x=2+\frac{33}{41}=\frac{115}{41}$
$x=\frac{23}{41}$
Result: $\left(x,y\right)=\left(\frac{23}{41},\frac{11}{41}\right)$