Question

What is the solution to the system of equations?

Use the substitute method
Y=3x-4
9x-3y=14

A. There is no solution
B. (12,14)
C. (14,12)
D. There are infinite solutions

Answer 1

A: There is no solution

Explanation:

This is not a very likable question.

Y=3x-4

9x-3y=14

Put the y value from the first equation into the second.

9x - 3(3x - 4) = 14 Remove the brackets

9x - 9x + 12 = 14 Combine like terms on the left

12 = 14 When you get this kind of conclusion, that means there is no solution. I'll graph these two for you.

Blue: y =3x - 4

Green: 9x - 3y = 14

They never touch they never meet: they are parallel. They don't give a solution.