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How do you solve the following system: $4x-2y=4 , 4x-5y-23=0$ ?

1 Answer

Jun 14, 2017

$x = -13/6 and y = -19/3$

Explanation:

Write both equations with $4x$ as the subject.

$4x = 2y+4" and "4x = 5y +23$

$color(white)(xxxxxxxx)4x = 4x$

$color(white)(xxxxx)5y +23 = 2y+4$

$color(white)(xxxxx)5y -2y = 4-23$

$color(white)(xxxxxxxx)3y = -19$

$color(white)(xxxxxxxxx)y = -19/3$
$4x= (2y+4)$

$x = (2y+4)/4$

$x = (2((-19)/3) +4)div 4$

$x = -13/6$

Check:

$4x = 5y+23$

$4xx(-13)/6 = 5((-19)/3)+23$

$-26/3 = -26/3$

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