Question

George solved the following system of equations using substitution.

y = 4.3 – 21
12x – 3y = 63

He decided there is no solution. After the following steps:

y= (4x – 21)
12x - 3(4x – 21) = 63
12:- 12.c + 63 = 63
63 = 63

Is George correct in his conclusion? If not choose the correct solution below. If he is correct, select that choice.

A) George is correct with no solution.

B) He is not right. There are infinitely many solutions.

C) He is not right. The solution is (63,63)

Answer 1

B

Explanation:

-4x + y = -21

12x -3y = 63

-4/12 = -1/3

1/-3 = -1/3

-21/63 = -1/3

If we graph the two lines, we can discover that are the same, so they have infinite points in common