How do you solve 3a - b = 113ab=11 and 2a + 3b = 02a+3b=0 using substitution?

1 Answer
Mar 6, 2018

color(green)(a = 3, b = -2a=3,b=2

Explanation:

3a - b = 113ab=11 Eqn (1)

b = 3a - 11b=3a11

2a + 3b = 02a+3b=0 Eqn (2)

Substituting value of b in terms of a in Eqn (2),

2a + 9a - 33 = 02a+9a33=0

11a = 3311a=33 or color(green)(a = 3a=3

Substituting value of a in Eqn (1),

(3 * 3) - b = 11(33)b=11

b = 9 - 11 b=911, color(green)( b = - 2b=2