How do solve the following linear system?: $2 x + 6 y = 5, 8 x + 2 y = 2$ $2x+6y=5 , 8x+2y=2$ ?

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How do solve the following linear system?: $2 x + 6 y = 5, 8 x + 2 y = 2$ $2x+6y=5 , 8x+2y=2$ ?

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Answer 1 · 2015-12-20T05:56:56

$\Rightarrow x = \frac{13}{44}$ $=> x= 13/44$ and $y = \frac{9}{11}$ $y=9/11$

Explanation:

Use the Substitution method to solve this problem.
Consider the first equation.

$2 x = 5 - 6 y$ $2x=5-6y$
$\Rightarrow 8 x = 20 - 24 y$ $=> 8x= 20-24y$ (multiplying LHS and RHS by 4)
Now insert the value of 8x into the second equation to get:
$(20 - 24 y) + 2 y = 2$ $(20-24y) + 2y=2$
$\Rightarrow 20 - 22 y = 2$ $=> 20-22y=2$
$\Rightarrow 22 y = 18$ $=> 22y=18$
$\Rightarrow y = \frac{18}{22}$ $=>y=18/22$ i.e. $y = \frac{9}{11}$ $y=9/11$

Now insert the value of y in any of the two given equations.

Inserting it into the second equation, we get
$8 x + \frac{18}{22} = 2$ $8x + 18/22=2$ ( Since 2y= $\frac{18}{22}$ $18/22$ )
$\Rightarrow 8 x = \frac{26}{22}$ $=> 8x= 26/22$
$\Rightarrow 4 x = \frac{13}{11}$ $=> 4x= 13/11$
$\Rightarrow x = \frac{13}{44}$ $=> x= 13/44$

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How do solve the following linear system?: $2 x + 6 y = 5, 8 x + 2 y = 2$ $2x+6y=5 , 8x+2y=2$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do solve the following linear system?: 2x+6y=5,8x+2y=2 2x+6y=5 , 8x+2y=2 ?

1 Answer

Explanation:

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How do solve the following linear system?: $2 x + 6 y = 5, 8 x + 2 y = 2$ $2x+6y=5 , 8x+2y=2$ ?