Solve the Equation: Triangle Symbol + 7 = 10

Linear Equations with Variable Symbols

Determine the numerical value of the triangle:

+7=10 \triangle+7=10

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Step-by-step written solution

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1

Understand the problem

Determine the numerical value of the triangle:

+7=10 \triangle+7=10

2

Step-by-step solution

To determine the value of the triangle, we begin with the equation given:

+7=10 \triangle + 7 = 10

We want to isolate \triangle . To do so, we subtract 7 from both sides of the equation:

+77=107 \triangle + 7 - 7 = 10 - 7

This simplifies to:

=3 \triangle = 3

Thus, the value of the triangle is 3 3 .

3

Final Answer

3 3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Use inverse operations to isolate the unknown variable
  • Technique: Subtract 7 from both sides: 10 - 7 = 3
  • Check: Substitute back: 3 + 7 = 10 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 7 to both sides when you see +7 in the equation = wrong operation! This gives triangle = 17, which makes no sense. Always use the opposite operation to cancel out numbers next to your variable.

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 7 instead of add 7?

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Since the equation shows triangle + 7, you need to do the opposite operation to isolate the triangle. Adding 7 would give you triangle + 14, moving you further from the answer!

What does the triangle symbol represent?

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The triangle \triangle is just a placeholder for an unknown number, like using x or y. It could be any variable symbol - the solving process stays the same!

How do I know what operation to use?

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Look at what's being done to your variable. If something is added, subtract it. If something is subtracted, add it. Always do the opposite!

Can I check my answer a different way?

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Yes! Besides substituting back, you can also work backwards: Start with your answer (3), add 7, and see if you get 10. Multiple checking methods build confidence!

What if I get a negative answer?

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Negative answers are completely valid in algebra! For example, if +12=5 \triangle + 12 = 5 , then triangle = -7. Always trust your math and verify by checking.

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