How do you solve the system of equations: 3T-2S=0, T+2S=15?

Aug 22, 2015

The solutions are
color(blue)(T=3.75, S=5.625

Explanation:

$3 T - \textcolor{b l u e}{2 S} = 0$
$T + \textcolor{b l u e}{2 S} = 15$

Solving by elimination

$3 T - \cancel{\textcolor{b l u e}{2 S}} = 0$

$T + \cancel{\textcolor{b l u e}{2 S}} = 15$
$4 T = 15$
$T = \frac{15}{4}$
color(blue)(T=3.75

Finding $S$ from equation $1$
$3 T - 2 S = 0$

$3 T = 2 S$

$S = \frac{3 T}{2}$

$S = \frac{11.25}{2}$
color(blue)(S=5.625