Question

Using 4x + 22 = 8x + 10 plug in a few points to show that the equation has only one solution

Answer 1

To show that the equation 4x + 22 = 8x + 10 has only one solution, we can plug in a few points and see if they satisfy the equation.

Let's start by plugging in x = 0:
4(0) + 22 = 8(0) + 10
22 = 10
This is not true, so x = 0 is not a solution to the equation.

Now let's try plugging in x = 2:
4(2) + 22 = 8(2) + 10
8 + 22 = 16 + 10
30 = 26
This is also not true, so x = 2 is not a solution to the equation.

Finally, let's plug in x = 3:
4(3) + 22 = 8(3) + 10
12 + 22 = 24 + 10
34 = 34
This is true, so x = 3 is a solution to the equation.

Since we have found only one value of x that satisfies the equation, we can conclude that the equation 4x + 22 = 8x + 10 has only one solution.