Sure! Let's simplify the expression step-by-step:
The given expression is:
[tex]\[ 5 + 10 - 2 \cdot 3 \][/tex]
First, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here, we only have multiplication, addition, and subtraction in our expression.
Step 1: Perform the multiplication first:
[tex]\[ 2 \cdot 3 = 6 \][/tex]
So the expression now becomes:
[tex]\[ 5 + 10 - 6 \][/tex]
Step 2: Perform the addition:
[tex]\[ 5 + 10 = 15 \][/tex]
Now the expression is:
[tex]\[ 15 - 6 \][/tex]
Step 3: Perform the subtraction:
[tex]\[ 15 - 6 = 9 \][/tex]
So, the simplified expression evaluates to:
[tex]\[ 9 \][/tex]
Therefore, the correct answer is:
[tex]\[ 9 \][/tex]
