Math homework help

Question

Is y=6x-14 a solution no solution or infinite solution

Answer 1

infinite solutions, (x,y) = (x, 6x-14) where x = any real number

= ((y+14)/6, y) where y = any real number

such as for examples:

(0, -14), (1, -8), (2, -2), (-1, -20), (-2, -26), ....

an infinite number of combinations of x and y values

if all you have is one linear equation with 2 variables

if the variables are greater than the number of equations, there is no unique solution