Solve the Equation: Finding the Value in 6 + Triangle = 26

Basic Linear Equations with Single Variable

Determine the numerical value of the triangle:

6+△=26 6+{\triangle}=26

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Determine the numerical value of the triangle:

6+△=26 6+{\triangle}=26

2

Step-by-step solution

To solve the equation 6+△=26 6 + \triangle = 26 , we seek the value of △ \triangle . We can easily obtain this by isolating △ \triangle on one side of the equation.

We employ the subtraction method to isolate △ \triangle :

  • Subtract 6 from both sides of the equation:
△=26−6\triangle = 26 - 6

Perform the calculation:

△=20 \triangle = 20

Thus, the numerical value of the triangle is 20 20 .

3

Final Answer

20 20

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move numbers to opposite side by inverse operations
  • Technique: Subtract 6 from both sides: 26 - 6 = 20
  • Check: Substitute back into original equation: 6 + 20 = 26 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 6 to both sides when 6 is already being added to the triangle = getting 32 instead of 20! This makes the equation more complex rather than simpler. Always use the opposite operation to move numbers across the equals sign.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do I subtract 6 from both sides instead of adding?

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Because the equation shows 6 plus triangle, you need the opposite operation to isolate the triangle. Since addition and subtraction are opposites, subtracting 6 cancels out the +6 on the left side.

What does it mean to 'isolate' the triangle?

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Isolating means getting the triangle by itself on one side of the equation. You want △=some number \triangle = \text{some number} so you can see what the triangle equals.

Can I solve this equation a different way?

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Yes! You could think of it as "What number plus 6 equals 26?" But the subtraction method is the most reliable way that works for all linear equations.

How do I know if 20 is really the right answer?

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Always check your work by putting 20 back into the original equation: 6+20=26 6 + 20 = 26 . Since this is true, your answer is correct!

What if I get a negative number as my answer?

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That's completely normal! Many equations have negative solutions. Just follow the same steps and always verify by substituting back into the original equation.

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