How do you solve the following system?: $17x +19y =14, -7x +15y = -22$

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Answer 1 · 2017-10-27T21:42:15

$y = -0.71$
$x = 1.62$

$17x+19y=14$
$-7x+15y=-22$

Using one of the equations, make either $x$ or $y$ the subject.

$17x+19y=14 -> 17x = 14-19y$

$x = (14-19y)/17$

Then inject this in place of the $x$ in the second equation to calculate $y$ .

$-7((14-19y)/17) +15y = -22$

Multiply out the bracket.

$(-98+133y)/17 + 15y = -22$

Multiply everything by $17$ to get rid of fractions.

$-98 + 133y +255y = -374$

Now calculate $y$ .

$388y = -276$

$y = -276/388$

$y = -0.71$

Now substitute the calculated $y$ value into the rearranged equation to calculate $x$ .

$x = (14-19(-0.71))/17$

$x = 1.62$

How do you solve the following system?: 17x +19y =14, -7x +15y = -2217x +19y =14, -7x +15y = -22