Solve y = 5.6x - 2.1: Finding y When x = 2

Q: Do I need to follow a specific order when calculating?

Yes! Always follow the order of operations: multiplication comes before subtraction. Calculate $ 5.6 \times 2 = 11.2 $ first, then subtract 2.1.

Q: What if I get confused by the decimal numbers?

Take your time with decimal multiplication! $ 5.6 \times 2 $ is the same as $ 56 \times 2 \div 10 = 112 \div 10 = 11.2 $. Practice makes perfect!

Q: How do I know which answer choice is correct?

Calculate step by step and don't rush. With $ x = 2 $: multiply to get 11.2, then subtract 2.1 to get 9.1. This matches one of the choices perfectly.

Q: Can I use a different method to solve this?

For substitution problems, there's really only one direct method: plug in the value and calculate. The key is being careful with your arithmetic, especially with decimals.

Q: What if my calculator gives a different answer?

Double-check your calculator input! Make sure you entered $ 5.6 \times 2 - 2.1 $ correctly. Common errors include missing the decimal point or hitting wrong operation buttons.

Linear Equations with Decimal Substitution

Find a y when x=2

$y=5.6x-2.1$

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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

00:05 Substitute the X value according to the given

00:15 Calculate the multiplication

00:25 Subtract

00:30 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

$y=5.6x-2.1$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Identify the given equation and variable.
Step 2: Substitute the given value of $x$ into the equation.
Step 3: Perform the necessary arithmetic to calculate $y$ .

Now, let's work through each step:
Step 1: The equation given is $y = 5.6x - 2.1$ . We need to find $y$ when $x = 2$ .
Step 2: Substitute $x = 2$ into the equation:
$y = 5.6(2) - 2.1$ .
Step 3: Calculate $y$ by performing the arithmetic:
First, calculate the multiplication: $5.6 \times 2 = 11.2$ .
Then, subtract 2.1 from 11.2: $11.2 - 2.1 = 9.1$ .

Therefore, the solution to the problem is $y = 9.1$ .

Final Answer

9.1

Key Points to Remember

Essential concepts to master this topic

Rule: Substitute the given value directly into the variable
Technique: Calculate $5.6 \times 2 = 11.2$ first, then subtract 2.1
Check: Verify $y = 9.1$ by substituting back: $9.1 = 5.6(2) - 2.1$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting the constant term
Don't calculate $5.6 \times 2 + 2.1 = 13.3$ ! This ignores the negative sign and gives a completely wrong answer. Always follow the exact order: multiply first, then subtract 2.1.

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 follow a specific order when calculating?

Yes! Always follow the order of operations: multiplication comes before subtraction. Calculate $5.6 \times 2 = 11.2$ first, then subtract 2.1.

What if I get confused by the decimal numbers?

Take your time with decimal multiplication! $5.6 \times 2$ is the same as $56 \times 2 \div 10 = 112 \div 10 = 11.2$ . Practice makes perfect!

How do I know which answer choice is correct?

Calculate step by step and don't rush. With $x = 2$ : multiply to get 11.2, then subtract 2.1 to get 9.1. This matches one of the choices perfectly.

Can I use a different method to solve this?

For substitution problems, there's really only one direct method: plug in the value and calculate. The key is being careful with your arithmetic, especially with decimals.

What if my calculator gives a different answer?

Double-check your calculator input! Make sure you entered $5.6 \times 2 - 2.1$ correctly. Common errors include missing the decimal point or hitting wrong operation buttons.

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