4x + 22 = 8x + 10

Question

3x + 18 = 5x + 8
Question 4: One Solution
Consider the two equations that you underlined, with one solution. Solve the equations.

Answer 1

To find the solution for the first equation, we can start by subtracting 4x from both sides:

22 = 4x + 10

Next, we can subtract 10 from both sides:

12 = 4x

Finally, we can divide both sides by 4 to find the value of x:

x = 3

Now, let's solve the second equation. As before, we can start by subtracting 3x from both sides:

18 = 2x + 8

Next, we can subtract 8 from both sides:

10 = 2x

Finally, we can divide both sides by 2 to find the value of x:

x = 5

So the solution for the system of equations is x = 3 and x = 5.