How do you solve x = y + 3 and 2x + y = 9?

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How do you solve x = y + 3 and 2x + y = 9?

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Answer 1 · 2016-05-19T02:55:22

$x = 4$ $x=4$
$y = 1$ $y=1$

Explanation:

Given -

$x = y + 3$ $x=y+3$ ----------------(1)
$2 x + y = 9$ $2x+y=9$ ----------------(2)

Substitute $x = y + 3$ $x=y+3$ in equation (2)

$2 (y + 3) + y = 9$ $2(y+3)+y=9$
$2 y + 6 + y = 9$ $2y+6+y=9$
$3 y + 6 = 9$ $3y+6=9$
$3 y = 9 - 6 = 3$ $3y=9-6=3$
$y = \frac{3}{3} = 1$ $y=3/3=1$
$y = 1$ $y=1$
Substitute $y = 1$ $y=1$ in equation (2)
$x = 1 + 3 = 4$ $x=1+3=4$
$x = 4$ $x=4$

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How do you solve x = y + 3 and 2x + y = 9?

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