5x-4

The left side of an equation is shown in the diagram. Select an expression for the right side of the equation so that the resulting equation has NO SOLUTION. and why

2(x-2)
6+5(x-2)
2x+4+3x
3x-4+2x

1 answer

The expression that will result in an equation with no solution is 3x-4+2x.

When we simplify, we get:

3x + 2x - 4
5x - 4

Since the original equation is 5x - 4 and we want to create an equation with no solution, we need to choose an expression that has different coefficients or a different constant term. In this case, the expression 3x-4+2x introduces different coefficients (3 and 2) and a different constant term (-4) compared to the original equation, resulting in no solution.