Solve the Equation: Triangle Symbol + 79 = 89

Solving Equations with Symbolic Variables

Determine the numerical value of the triangle:

+79=89 {\triangle}+79=89

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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:

+79=89 {\triangle}+79=89

2

Step-by-step solution

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

  • Step 1: Identify the equation given as +79=89 \triangle + 79 = 89 .
  • Step 2: Solve for the unknown variable \triangle.

Now, let's work through each step:
Step 1: Observe that the equation is structured as an addition problem with an unknown symbol \triangle.
Step 2: To isolate \triangle, perform the subtraction 897989 - 79 on the right side of the equation:

=8979 \triangle = 89 - 79

Perform the subtraction:

8979=10 89 - 79 = 10

Thus, the numerical value of the triangle (\triangle) is 10 10 .

3

Final Answer

10 10

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move constants to opposite side by inverse operations
  • Technique: Subtract 79 from both sides: =8979=10 \triangle = 89 - 79 = 10
  • Check: Substitute back into original equation: 10+79=89 10 + 79 = 89

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 79 to both sides thinking =89+79=168 \triangle = 89 + 79 = 168 ! This makes the equation unbalanced and gives the wrong answer. Always use the inverse operation - since 79 is being added to the triangle, subtract 79 from both sides.

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 79 instead of adding it?

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Because the triangle has 79 added to it, you need to do the opposite operation (subtraction) to isolate it. Think of it as "undoing" what was done to the variable.

What if the triangle symbol was on the right side?

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The process is exactly the same! Whether it's +79=89 \triangle + 79 = 89 or 89=+79 89 = \triangle + 79 , you still subtract 79 from both sides to get =10 \triangle = 10 .

Can I use any symbol instead of a triangle?

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Absolutely! The symbol is just a placeholder for an unknown number. Whether it's \triangle , x x , ? ? , or any other symbol, the solving method stays the same.

How do I check if my answer is correct?

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Substitute your answer back into the original equation. Replace the triangle with 10: 10+79=89 10 + 79 = 89 . Since both sides equal 89, your answer is correct!

What if I had to subtract instead of add?

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If the equation was 79=89 \triangle - 79 = 89 , you'd add 79 to both sides instead. Always do the opposite of what's being done to the variable.

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