Question

Solve the given system, using the substitution method.. . y = 3x – 4. 9x – 3y = 14. . . A.. There is no solution.. . B.. (12, 14). . C.. (14, 12). . D.. There are an infinite number of solutions.

Answer 1

y = 3x - 4 . . . (1)
9x - 3y = 14 . .(2)

Putting (1) into (2) gives
9x - 3(3x - 4) = 14
9x - 9x + 12 = 14
12 = 14

Therefore, there is no solution.

Answer 2

. y = 3x – 4.
9x – 3y = 14.
by substituiting value of x in second equation
9x-3(3x-4)=14
9x -9x+12=14
12=14 which is not possible so no solution for this question