How do solve the following linear system?: $5x-4y=23, 3x + 4y = -1$ ?

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Answer 1 · 2016-01-13T12:58:22

The solution for system of equations is
$color(blue)(x=11/4, y=-37/16$

$5x-color(blue)(4y)=23$ ......equation $(1)$

$3x + color(blue)(4y)=-1$ ......equation $(2)$

Solving by elimination.

Adding equation $1$ and $2$

$5x-cancelcolor(blue)(4y)=23$

$3x +cancel color(blue)(4y)=-1$

$8x=22$

$x=22/8$

$color(blue)(x=11/4$

Finding $y$ from equation $1$

$5x-4y=23$

$5x-23=4y$

$5 xx 11/4 -23=4y$

$55/4 -23=4y$

$55/4 -92/4=4y$

$-37/4=4y$

$-37/(4xx4)=y$

$color(blue)(y=-37/16$

How do solve the following linear system?: 5x-4y=23, 3x + 4y = -1 5x-4y=23, 3x + 4y = -1 ?