To determine which equations have no solutions, we need to solve each equation and see if there is a value of x that satisfies the equation.
1. 6(x + 8) = 6x + 5
6x + 48 = 6x + 5
48 = 5
No solution. This equation is inconsistent and has no solution.
2. 5x + 5 = 5(2x + 2)
5x + 5 = 10x + 10
-5x = 5
x = -1
This equation has a solution.
3. 7x + 3 - 4x = 3(x + 1)
3x + 3 = 3x + 3
3 = 3
Infinite solutions. This equation is an identity and has infinitely many solutions.
So, the equation that has no solution is 6(x + 8) = 6x + 5.
which equations have no solutions. Mark all that apply.
6 (x + 8) = 6x + 5
5x + 5 = 5 (2x + 2)
7x + 3 - 4x = 3 (x + 1)
3 answers
any other one or just that one
Apologies for the confusion. The equation that has no solution is just 6(x + 8) = 6x + 5. The other equations have either a specific solution or infinitely many solutions.
1 answer