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5 votes
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

1 Answer

6 votes
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


(a1)/(a2) \\eq (b1)/(b2) \\ \\

So there is only 1 solution.

Answer is B.
User Abdul Manan
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