Plug a few points into the original equation of 4x + 22 = 8x + 10 and check to show that the system of equation has one solution
The original equation is:
4x + 22 = 8x + 10
Let's plug in x = 3:
4(3) + 22 = 8(3) + 10
12 + 22 = 24 + 10
34 = 34
Since both sides are equal, x = 3 is a solution to the equation.
Therefore, the system of equation has one solution.