How do solve the following linear system?: $-x+5y=-5 , -7x+y=-19$ ?

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Answer 1 · 2016-05-10T19:59:19

$x = 45/17$ and $y = -8/17$

There are several methods to solve simultaneous equations:

Substitution, elimination, or by equating two variables.

Let's make y the subject in both equations:

Equ 1: $5y = x - 5" Equ 2": y = 7x - 19$
$" " y = x/5 - 1$

The two y values are equal: y = y
Therefore: $x/5 - 1 = 7x - 19 " " xx 5$

$x - 5 = 35x - 95 " solve for "x$
$90 = 34x$
$90/34 = x rArr " "x = 45/17$

Now that we have the value for x, substitute into both equations to check the value for y.

$y = 45/17 ÷ 5 - 1$ and $y = 7 (45/17) - 19$
$y = -8/17 " "y = -8/17$

How do solve the following linear system?: -x+5y=-5 , -7x+y=-19 -x+5y=-5 , -7x+y=-19 ?