To solve the given system of equations for $a$ and $b$, let's go through the solution step by step:

Given Equations:

1. $18 = 2a + 10$
2. $3a = b + 2$

Step 1: Solve for $a$

From the first equation: $18 = 2a + 10$

Subtract 10 from both sides: $8 = 2a$

Divide by 2: $a = 4$

Step 2: Solve for $b$

Substitute $a = 4$ into the second equation: $3(4) = b + 2$

Simplify: $12 = b + 2$

Subtract 2 from both sides: $b = 10$

Final Solution:

$a = 4, \, b = 10$

Would you like a detailed explanation of any step? Here are some related questions:

1. How do you solve systems of equations using substitution?
2. What other methods can solve a system of linear equations?
3. Can these equations be graphed to verify the solution?
4. How do you check the solution of a system of equations?
5. What is the elimination method for solving equations?

Tip: Always check your solution by substituting back into the original equations to ensure it satisfies both!