Tell whether the system has one solution infinitely many solutions or no solution.

Question

1.5x+2y=11
3x+6y=22

a. one solution
b. infinitely many solutions
c. no solution

Answer 1

Multiply Eq1 by -2 and add:
Eq1: -3x - 4y = -22.
Eq2: +3x + 6y = 22.
Sum: 2y = 0.
Y = 0.
In Eq2, replace y with 0 and solve for x:
3x + 6*0 = 22.
X = 7 1/3.

One solution.