Question

4(x-8)+12=2(2x-9) has one solution, no solution, or infinitely solutions

Answer 1

No somutions

Explanation:

Expand both sides of the equation

4x -20 = 4x-18 subtract 4x from both sides

-20 = -18 Obviously , there are no solutions....

Answer 2

One Solution

Explanation:

The equation
`4(x-8)+12=2(2x-9)` has one solution. To solve this equation, we can start by distributing the 4 and the 2 on the left-hand side of the equation to obtain
`4x - 32 + 12 = 4x - 18`. We can then combine like terms on both sides of the equation to obtain
`-20 = -6, or 20 = 6`. Since the left-hand side and the right-hand side of the equation are not equal, this equation has no solutions.

In general, equations with one solution have a unique solution that satisfies all of the conditions of the equation. This means that when the equation is solved, the values of the variables in the equation will be the same on both sides of the equal sign. In contrast, equations with no solutions have no values of the variables that can make the equation true, and equations with infinitely many solutions have an infinite number of possible solutions.