Solve for y When x = 2: Direct Variable Substitution Problem

Q: Why is the answer 2 and not something else?

Since we're told that y = x and x = 2, we simply substitute: y equals whatever x equals. So y = 2!

Q: Do I need to do any calculations here?

No calculations needed! This is pure substitution. When you have y = x and know x = 2, just replace x with 2 to get y = 2.

Q: Is this the same as solving an equation?

Not really! This is evaluation - you're finding the value of one variable when another is given. No algebraic steps needed, just direct substitution.

Variable Substitution with Given Values

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

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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

00:04 Substitute the X value according to the given data

00:09 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

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

Step-by-step solution

We are given the equation y=x

We are also given the value of x,

x=2

Therefore, we will insert the given value into the equation

y=2

And that's the solution!

Final Answer

$2$

Key Points to Remember

Essential concepts to master this topic

Substitution Rule: Replace variables with their given values directly
Technique: When y = x and x = 2, substitute to get y = 2
Check: Verify that your answer satisfies the original equation y = x ✓

Common Mistakes

Avoid these frequent errors

Solving for x instead of y
Don't solve for x when you're asked to find y = x becomes y = 2, not x = 2! The question asks for y's value, not x's. Always read what the problem is asking for and substitute the known value directly.

Practice Quiz

Test your knowledge with interactive questions

Find a y when $$ x=2 $$

$$ y=5x $$

FAQ

Everything you need to know about this question

Why is the answer 2 and not something else?

Since we're told that y = x and x = 2, we simply substitute: y equals whatever x equals. So y = 2!

Do I need to do any calculations here?

No calculations needed! This is pure substitution. When you have y = x and know x = 2, just replace x with 2 to get y = 2.

What if the equation was y = x + 1 instead?

Then you'd substitute x = 2 to get y = 2 + 1 = 3. The key is to replace every x with the given value.

How do I check if y = 2 is correct?

Substitute both values back: if x = 2 and y = 2, does y = x? Yes! 2 = 2 is true, so our answer is correct.

Is this the same as solving an equation?

Not really! This is evaluation - you're finding the value of one variable when another is given. No algebraic steps needed, just direct substitution.

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