How do you solve the following system using substitution?: $x – y = 3, 3x – 2y = 3$

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Answer 1 · 2015-10-24T04:14:04

$color(green)(x = -3$
$color(green)(y = -6$

$x - y = 3$

Transposing $y$ to the other side will give us
$x = y + 3$ -----------------(i)

Substituting this value of $x$ in the second equation given, we get

$3(y+3) - 2y = 3$

$3y + 9 - 2y = 3$

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

$y + 9 = 3$

Transposing 9 to the other side, we get
$y = 3 - 9$
$color(green)(y = -6$

Substituting this value of $y$ in (i), we get
$x = -6 + 3$
$color(green)(x = -3$

How do you solve the following system using substitution?: x – y = 3, 3x – 2y = 3x – y = 3, 3x – 2y = 3