Solve y=5x When x=2: Simple Linear Equation Evaluation

Q: What does the coefficient 5 mean in y = 5x?

The coefficient 5 means you multiply x by 5. So when $ x = 2 $, you calculate $ 5 \times 2 = 10 $.

Q: Why isn't the answer 7 if I add 5 + 2?

Addition is not the same as multiplication! The equation $ y = 5x $ means multiply 5 by x, not add them together.

Q: How do I know when to substitute?

Substitute whenever you're given a specific value for a variable. Replace every instance of that variable with the given number.

Q: What if x was a different number?

The process stays the same! If $ x = 3 $, then $ y = 5 \times 3 = 15 $. Just multiply the coefficient by whatever value x has.

Q: Can y = 5x have negative answers?

Absolutely! If $ x = -2 $, then $ y = 5 \times (-2) = -10 $. The sign of your answer depends on the value you substitute.

Linear Equations with Direct Substitution

Find y when $x=2$

$y=5x$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's find the value of Y given the X value.

00:11 First, substitute the X value into the equation.

00:17 Next, calculate the multiplication step carefully.

00:22 And that's how we find the solution to the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Find y when $x=2$

$y=5x$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given equation $y = 5x$ .
Step 2: Substitute the value $x = 2$ into the equation.
Step 3: Calculate the value of $y$ .

Now, let's work through each step:
Step 1: We start with the equation $y = 5x$ .
Step 2: Substitute $x = 2$ into this equation:
$y = 5 \times 2$ .
Step 3: Perform the multiplication:
$y = 10$ .

Therefore, the solution to the problem is $y = 10$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Substitution: Replace the variable with the given value directly
Technique: For y = 5x when x = 2, calculate 5 × 2 = 10
Check: Substitute back: when x = 2, y = 5(2) = 10 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying the coefficient
Don't calculate y = 5 + 2 = 7 when you see y = 5x! This ignores the multiplication operation. Always multiply the coefficient by the variable value: y = 5 × 2 = 10.

Practice Quiz

Test your knowledge with interactive questions

Find y when $$ x=2 $$

$$ y=5x $$

FAQ

Everything you need to know about this question

What does the coefficient 5 mean in y = 5x?

The coefficient 5 means you multiply x by 5. So when $x = 2$ , you calculate $5 \times 2 = 10$ .

Why isn't the answer 7 if I add 5 + 2?

Addition is not the same as multiplication! The equation $y = 5x$ means multiply 5 by x, not add them together.

How do I know when to substitute?

Substitute whenever you're given a specific value for a variable. Replace every instance of that variable with the given number.

What if x was a different number?

The process stays the same! If $x = 3$ , then $y = 5 \times 3 = 15$ . Just multiply the coefficient by whatever value x has.

Can y = 5x have negative answers?

Absolutely! If $x = -2$ , then $y = 5 \times (-2) = -10$ . The sign of your answer depends on the value you substitute.

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