Solve y=18(x-2): Finding y When x Equals 2

Q: Why does the answer equal zero?

When $ x = 2 $, the expression $ (x - 2) $ becomes $ (2 - 2) = 0 $. Since any number multiplied by zero equals zero, we get $ y = 18 \times 0 = 0 $.

Q: What if I substitute a different value for x?

Try $ x = 3 $! You'd get $ y = 18(3-2) = 18 \times 1 = 18 $. The difference $ (x-2) $ changes based on your x-value.

Q: Do I need to distribute the 18?

Not in this case! Since we're substituting a specific number, it's easier to solve the parentheses first: $ (2-2) = 0 $, then multiply by 18.

Q: What does this equation represent?

This is a linear equation where $ y $ depends on $ x $. When $ x = 2 $, the line crosses the x-axis because $ y = 0 $.

Linear Substitution with Zero Products

Find a y when x=2

$y=18(x-2)$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find Y according to the given X value

00:03 Substitute the X value according to the given data

00:07 Always solve parentheses first

00:15 Any number multiplied by 0 always equals 0

00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Find a y when x=2

$y=18(x-2)$

Step-by-step solution

To solve this problem, we need to substitute $x = 2$ into the given expression for $y$ .

Step 1: Write down the expression for $y$ : $y = 18(x - 2)$ .
Step 2: Substitute $x = 2$ into the expression.
Step 3: Simplify the expression.

Let's perform these steps:

Step 1: The expression given is $y = 18(x - 2)$ .

Step 2: Substitute $x = 2$ into the expression:
$y = 18(2 - 2)$ .

Step 3: Simplify the expression:
Since $2 - 2 = 0$ , we have $y = 18 \times 0 = 0$ .

Therefore, when $x = 2$ , the value of $y$ is $0$ .

Final Answer

$0$

Key Points to Remember

Essential concepts to master this topic

Substitution Rule: Replace the variable with the given value directly
Technique: Calculate inside parentheses first: $2 - 2 = 0$
Check: Any number multiplied by zero equals zero: $18 \times 0 = 0$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting order of operations with parentheses
Don't solve $18(2-2)$ as $18 \times 2 - 2 = 34$ ! This ignores parentheses and gives the wrong answer. Always solve what's inside parentheses first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Calculate y given that $$ x=2 $$ and $$ y=x $$ .

FAQ

Everything you need to know about this question

Why does the answer equal zero?

When $x = 2$ , the expression $(x - 2)$ becomes $(2 - 2) = 0$ . Since any number multiplied by zero equals zero, we get $y = 18 \times 0 = 0$ .

What if I substitute a different value for x?

Try $x = 3$ ! You'd get $y = 18(3-2) = 18 \times 1 = 18$ . The difference $(x-2)$ changes based on your x-value.

Do I need to distribute the 18?

Not in this case! Since we're substituting a specific number, it's easier to solve the parentheses first: $(2-2) = 0$ , then multiply by 18.

How do I know I did the substitution correctly?

Write each step clearly: Original equation → Substitute the value → Solve parentheses → Final multiplication. This helps you catch mistakes!

What does this equation represent?

This is a linear equation where $y$ depends on $x$ . When $x = 2$ , the line crosses the x-axis because $y = 0$ .

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