Question

-3x+c=-3x+8 Describe the values of c for which the equation has no solution.

Answer 1

any value other than 8

Explanation:

If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.

If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.

There is no solution for any value of c that is not 8.

Answer 2

`c=-3x+8+3x\\c=8`

If c = 8 then the solution is infinite. (because the equation is true)

`-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0`

If c < 8 then there're no solutions. (the equation is false)

`-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0`

If c > 8 then there're no solutions.

easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.