Ask a New Question
Menu

4x+22=8x+10 5x+5=5x+4

Plug a few points into the original equations check to show that they can have no solution. Explain your work.

2 answers

To check if an equation has no solution, we need to find a contradiction that arises by assuming a value for the variable.

Let's look at the first equation, 4x+22=8x+10:

Assuming x=0 gives 4(0) + 22 = 8(0) + 10, which simplifies to 22=10, untrue.

Assuming x=1 gives 4(1) + 22 = 8(1) + 10, which simplifies to 26=18, again untrue.

We can continue trying different values of x, but we will never find a solution that makes the equation true. Therefore, the equation has no solution.

Now for the second equation, 5x+5=5x+4:

Subtracting 5x from both sides gives 5=4, which is a contradiction. There is no value of x that would satisfy this equation.

So both equations have no solutions.
enough with the same problem!