How do you solve the following system?: $5 x - 7 y = 22, - 6 x + 3 y = 17$ $5x-7y=22 , -6x+3y=17$

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Answer 1 · 2018-07-17T11:19:57

$x = - \frac{185}{27}$ $x=-185/27$ and $y = - \frac{217}{27}$ $y=-217/27$

$3 \cdot (5 x - 7 y) + 7 \cdot (- 6 x + 3 y) = 3 \cdot 22 + 7 \cdot 17$ $3*(5x-7y)+7*(-6x+3y)=3*22+7*17$

$15 x - 21 y - 42 x + 21 y = 66 + 119$ $15x-21y-42x+21y=66+119$

$- 27 x = 185$ $-27x=185$ , so $x = \frac{185}{- 27} = - \frac{185}{27}$ $x=185/(-27)=-185/27$

$(- 6) \cdot (- \frac{185}{27}) + 3 y = 17$ $(-6)*(-185/27)+3y=17$

$\frac{370}{9} + 3 y = 17$ $370/9+3y=17$

$370 + 27 y = 153$ $370+27y=153$

$27 y = - 217$ $27y=-217$ , thus $y = - \frac{217}{27}$ $y=-217/27$

How do you solve the following system?: 5x−7y=22,−6x+3y=175x-7y=22 , -6x+3y=17