Question

Based on the following system of equations, determine the number of solutions.
3x+2y=20
y+9=8x
A. No solutions
B. One solution
C. Two solutions
D. Infinitely many solutions

Answer 1

3x+2y=20

a1 = 3, b1 = 2, c1 = 20
__________

y+9=8x

=> -8x + y = -9

a2 = -8, b2 = 1, c2 = -9
______________

a1/a2 = 3/(-8) = -3/8

b1/b2 = 2/1 = 2

$\frac{a1}{a2} \neq \frac{b1}{b2}$

So there is only 1 solution.

Answer is B.