How do you solve $x + y = 5$ $x + y = 5$ and $2 x - y = 4$ $2x - y = 4$ using substitution?

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How do you solve $x + y = 5$ $x + y = 5$ and $2 x - y = 4$ $2x - y = 4$ using substitution?

1 Answer

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Answer 1 · 2016-08-04T12:19:28

$x = 3$ $x=3$
$y = 2$ $y=2$

Explanation:

$x + y = 5$ $x+y=5$
$2 x - y = 4$ $2x-y=4$
Adding up the above equations we get
$x + 2 x + y - y = 5 + 4$ $x+2x+y-y=5+4$
or
$3 x + 0 = 9$ $3x+0=9$
or
$3 x = 9$ $3x=9$
or
$x = \frac{9}{3}$ $x=9/3$
or
$x = 3$ $x=3$ =========Ans $1$ $1$
So From equation $x + y = 5$ $x+y=5$ we get
$3 + y = 5$ $3+y=5$
or
$y = 5 - 3$ $y=5-3$
or
$y = 2$ $y=2$ =========Ans $2$ $2$

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How do you solve $x + y = 5$ $x + y = 5$ and $2 x - y = 4$ $2x - y = 4$ using substitution?

1 Answer

Explanation:

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How do you solve $x + y = 5$ $x + y = 5$ and $2 x - y = 4$ $2x - y = 4$ using substitution?