Solve y=8x+1: Finding y When x Equals 2

Q: Do I need to solve for x first?

No! The value of x is already given as 2. You just need to substitute this value into the equation to find y.

Q: Why do I multiply 8 and 2 before adding 1?

This follows the order of operations (PEMDAS). Multiplication comes before addition, so $ 8 \times 2 = 16 $ first, then $ 16 + 1 = 17 $.

Q: What if I got 18 as my answer?

You likely added first: $ 8 + 1 = 9 $, then multiplied by 2. Remember to multiply first according to order of operations rules!

Q: How can I check if 17 is correct?

Substitute back into the original equation: $ y = 8(2) + 1 $. If you get $ 17 = 17 $, your answer is correct!

Q: Is this the same as graphing a line?

Yes! The equation $ y = 8x + 1 $ represents a straight line. You're finding the y-coordinate when the x-coordinate is 2, which gives you the point (2, 17).

Linear Functions with Substitution Method

Find y when x=2

$y=8x+1$

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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 when X is given.

00:10 First, substitute the given value of X into the equation.

00:15 Now, calculate this by multiplying as instructed.

00:24 Then, add everything up.

00:27 And that's how we find the answer to this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Find y when x=2

$y=8x+1$

Step-by-step solution

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

Step 1: Substitute the given value of $x$ into the equation.
Step 2: Perform the arithmetic calculation to find $y$ .

Let’s work through each step:

Step 1: Our given equation is $y = 8x + 1$ . We substitute $x = 2$ into the equation:

$y = 8(2) + 1$

Step 2: Calculate the expression:

$y = 16 + 1$

$y = 17$

Therefore, when $x = 2$ , the value of $y$ is $17$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Substitution Rule: Replace the variable with the given value directly
Technique: Calculate $8(2) + 1 = 16 + 1 = 17$ step by step
Check: Verify by substituting back: when x=2, y should equal 17 ✓

Common Mistakes

Avoid these frequent errors

Forgetting order of operations
Don't calculate 8+1 first to get 9×2=18! This ignores multiplication before addition rules. Always multiply 8×2=16 first, then add 1 to get 17.

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

Do I need to solve for x first?

No! The value of x is already given as 2. You just need to substitute this value into the equation to find y.

Why do I multiply 8 and 2 before adding 1?

This follows the order of operations (PEMDAS). Multiplication comes before addition, so $8 \times 2 = 16$ first, then $16 + 1 = 17$ .

What if I got 18 as my answer?

You likely added first: $8 + 1 = 9$ , then multiplied by 2. Remember to multiply first according to order of operations rules!

How can I check if 17 is correct?

Substitute back into the original equation: $y = 8(2) + 1$ . If you get $17 = 17$ , your answer is correct!

Is this the same as graphing a line?

Yes! The equation $y = 8x + 1$ represents a straight line. You're finding the y-coordinate when the x-coordinate is 2, which gives you the point (2, 17).

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