Question

{3x-4y=2
5x-2y=6
системная уравнения
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Answer 1

$\left \{ {{3x-4y=2} \atop {5x-2y=6}} \right. \left \{ {{3x-4y=2} \atop {2y=5x-6}} \right. \left \{ {{3x-2(5x-6)=2} \atop {2y=5x-6}} \right. \left \{ {3x-10x+12=2} \atop {2y=5x-6}} \right. \left \{ {-7x=2-12} \atop {2y=5x-6}} \right.$$\left \{ {-7x=-10} \atop {2y=5x-6}} \right. \left \{ {x= \frac{10}{7}=1\frac{3}{7} } \atop {2y=5x-6}} \right. \left \{ {x= \frac{10}{7}=1\frac{3}{7} } \atop {y= \frac{5x-6}{2}= \frac{5* \frac{10}{7}-6 }{2} = \frac{50-42}{14}=\frac{8}{14}=\frac{4}{7} }} \right.$