How do you solve the following system: $8 x - y = 13, 5 x - 9 y = - 23$ $8x - y = 13 , 5x-9y=-23$ ?

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How do you solve the following system: $8 x - y = 13, 5 x - 9 y = - 23$ $8x - y = 13 , 5x-9y=-23$ ?

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Answer 1 · 2018-06-19T14:49:21

$x = \frac{140}{67} = 2 \frac{6}{67}$ $x=140/67=2 6/67$
$y = \frac{249}{67} = 3 \frac{48}{67}$ $y=249/67 =3 48/67$

Explanation:

System of equations:
1) $8 x - y = 13 \Rightarrow y = 8 x - 13$ $8x-y=13 => y=8x-13$
2) $5 x - 9 y = - 23 \Rightarrow 9 y = 5 x + 23$ $5x-9y=-23 => 9y=5x+23$
1) inserted in 2) gives:
3) $9 (8 x - 13) = 5 x + 23 \Rightarrow 72 x - 117 = 5 x + 23$ $9(8x-13)=5x+23 => 72x-117=5x+23$
$67 x = 140 \Rightarrow x = \frac{140}{67} = 2 \frac{6}{67}$ $67x=140 => x=140/67=2 6/67$
Inserted in 1):
$y = 8 \cdot 2 \frac{6}{67} - 13 = 16 \frac{48}{67} - 13 = 3 \frac{48}{67}$ $y=8*2 6/67-13=16 48/67 - 13=3 48/67$

Check: $5 x - 9 y = 5 \cdot 2 \frac{6}{67} - 9 \cdot 3 \frac{48}{67} = - 23$ $5x-9y=5*2 6/67 - 9*3 48/67=-23$

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How do you solve the following system: $8 x - y = 13, 5 x - 9 y = - 23$ $8x - y = 13 , 5x-9y=-23$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you solve the following system: 8x−y=13,5x−9y=−23 8x - y = 13 , 5x-9y=-23 ?

1 Answer

Explanation:

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Impact of this question

How do you solve the following system: $8 x - y = 13, 5 x - 9 y = - 23$ $8x - y = 13 , 5x-9y=-23$ ?