How do you solve the following system?: $- 2 x + 11 y = 5, 5 x - 2 y = - 2$ $-2x +11y =5 , 5x -2y = -2$

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Answer 1 · 2018-06-22T06:38:41

$x = - \frac{4}{17}, y = \frac{7}{17}$ $x=-4/17,y=7/17$

Multiplying the first equation by $5$ $5$ and the second by $2$ $2$ and adding both we get

$y = \frac{21}{51} = \frac{7}{17}$ $y=21/51=7/17$

so

$x = - \frac{1}{2} (\frac{85 - 77}{17}) = - \frac{4}{17}$ $x=-1/2((85-77)/17)=-4/17$

How do you solve the following system?: −2x+11y=5,5x−2y=−2-2x +11y =5 , 5x -2y = -2