The second equation is -1.5 times the first, so the system is dependent and has an infinite number of solutions. The general solution is found by solving for y.

-6x + 9y = -21

9y = 6x - 21 (add 6x)

y = (6/9)x - (21/9) (divide by 9)

y = (2/3)x - 7/3 (reduce fractions)

The general solution is the ordered pair

(x, 2/3x-7/3)

-6x + 9y = -21

9y = 6x - 21 (add 6x)

y = (6/9)x - (21/9) (divide by 9)

y = (2/3)x - 7/3 (reduce fractions)

The general solution is the ordered pair

(x, 2/3x-7/3)