Answer
a) $(-11/7, 23/7)$
b) $(-11/7, 23/7)$
Work Step by Step
a)
$3x-y=-8$
$5x+3y=2$
$3x-y=-8$
$-5*(3x-y=-8)$
$-15x+5y=40$
$5x+3y=2$
$3*(5x+3y=2)$
$15x+9y=6$
$-15x+5y=40$
$15x+9y=6$
$15x+9y+(-15x+5y)=6+(40)$
$15x-15+9y+5y=46$
$14y=46$
$14y/14 = 46/14$
$y=23/7$
$5x+3y=2$
$5x+3*23/7=2$
$5x+69/7=2$
$5x = 14/7-69/7$
$5x = -55/7$
$5x/5 = (-55/7)/5$
$x = -11/7$
b)
$3x-y=-8$
$5x+3y=2$
$3x-y=-8$
$3*(3x-y=-8)$
$9x-3y=-24$
$5x+3y=2$
$9x-3y=-24$
$9x-3y+(5x+3y)=-24+(2)$
$9x+5x+3y-3y = -22$
$14x = -22$
$14x/14 = -22/14$
$x = -11/7$
$5x+3y=2$
$5*(-11/7)+3y=2$
$-55/7+3y=2$
$3y=55/7+14/7$
$3y=69/7$
$3y/3=(69/7)/3$
$y=23/7$
