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

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

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Answer 1 · 2016-05-10T19:59:19

$x = \frac{45}{17}$ $x = 45/17$ and $y = - \frac{8}{17}$ $y = -8/17$

Explanation:

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: $5 y = x - 5 Equ 2 : y = 7 x - 19$ $5y = x - 5" Equ 2": y = 7x - 19$
$y = \frac{x}{5} - 1$ $" " y = x/5 - 1$

The two y values are equal: y = y
Therefore: $\frac{x}{5} - 1 = 7 x - 19 \times 5$ $x/5 - 1 = 7x - 19 " " xx 5$

$x - 5 = 35 x - 95 solve for x$ $x - 5 = 35x - 95 " solve for "x$
$90 = 34 x$ $90 = 34x$
$\frac{90}{34} = x \Rightarrow x = \frac{45}{17}$ $90/34 = x rArr " "x = 45/17$

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

$y = \frac{45}{17} \div 5 - 1$ $y = 45/17 ÷ 5 - 1$ and $y = 7 (\frac{45}{17}) - 19$ $y = 7 (45/17) - 19$
$y = - \frac{8}{17} y = - \frac{8}{17}$ $y = -8/17 " "y = -8/17$

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

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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