Answer
$u = 4$, $v = 1$ or $(4, 1)$
Work Step by Step
Given:
$3u + 3v = 15$
$-2u + 3v = -5$
Substract the second, $-2u + 3v = -5$, from the first, $3u + 3v = 15$
Gives: $3u + 3v - (-2u + 3v) = 15 - (-5)$
Expand: $3u + 3v + 2u - 3v = 15 + 5$
Simplify: $5u = 20$
Divide by 5: $u = 4$
Substitute back into the first equation:
Gives: $3(4) + 3v = 15$
Expand: $12 + 3v = 15$
Subtract 12: $3v = 3$
Divide by 3: $v = 1$
$u = 4$, $v = 1$