How do you solve the following system: $5 x + 8 y = - 29, 5 x - 9 y = - 2$ $5x+8y= -29, 5x-9y=-2$ ?

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Answer 1 · 2016-02-13T18:05:21

The solution for the system of equations is:
$x = - \frac{277}{85}$ $x =-277/(85)$

$y = - \frac{27}{17}$ $y = -27/17$

$5 x + 8 y = - 29$ $color(blue)(5x) +8y=-29$ ......equation $(1)$ $(1)$
$5 x - 9 y = - 2$ $color(blue)(5x) -9y=-2$ .........equation $(2)$ $(2)$

Solving by elimination

Subtracting equation $2$ $2$ from $1$ $1$

$cancelcolor(blue)(5x) +8y=-29$
$-cancelcolor(blue)(5x) +9y=2$

$17y = -27$

$y = -27/17$

Finding $x$ from equation $1$

$5x +8y=-29$

$5x +8xx(-27/17)=-29$

$5x + (-216/17)=-29$

$5x =-29+216/17$

$5x =-493/17+216/17$

$5x =-277/17$

$x =-277/(17xx5)$

$x =-277/(85)$

How do you solve the following system: 5x+8y= -29, 5x-9y=-2 5x+8y=−29,5x−9y=−2 5x+8y= -29, 5x-9y=-2 ?