Write an equation with no solutions that has the expression 3x + 6 on the left side of the equal sign. Demonstrate that your equation has no solutions.

Question

i need help with my algebra

 homework

Answer 1

One possible answer is

3 x + 7 = 3 x + 6

subtracting 6 from both side gives 1 = 0 which is nonsense.

Graphically f(x) = 3 x + 7 and g(x) = 3 x + 6 are parallel lines which never cross. Thus there are no solutions.