Solve the Equation: Triangle Symbol - 8 = 90

Linear Equations with Variable Symbols

Determine the numerical value of the triangle:

8=90 \triangle-8=90

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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:

8=90 \triangle-8=90

2

Step-by-step solution

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

  • Step 1: Add 8 to both sides of the equation 8=90 \triangle - 8 = 90 .
  • Step 2: Simplify to determine the value of \triangle .

Now, let's work through each step:

Step 1: Add 8 to both sides of the equation:
8+8=90+8 \triangle - 8 + 8 = 90 + 8

Step 2: Simplify the equation:
=98 \triangle = 98

This means the value of the triangle ( \triangle ) that satisfies the equation is 98 98 .

Therefore, the solution to the problem is 98 98 .

3

Final Answer

98 98

Key Points to Remember

Essential concepts to master this topic
  • Inverse Operations: Use addition to undo subtraction operations
  • Technique: Add 8 to both sides: 8+8=90+8 \triangle - 8 + 8 = 90 + 8
  • Check: Substitute answer: 988=90 98 - 8 = 90

Common Mistakes

Avoid these frequent errors
  • Subtracting 8 from both sides instead of adding
    Don't subtract 8 from both sides when you see triangle - 8 = 90! This gives triangle = 82, which is wrong. The subtraction is already in the equation, so you need to ADD 8 to both sides to isolate the triangle.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why do I add 8 when I see triangle minus 8?

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Great question! When you see 8 \triangle - 8 , the 8 is being subtracted from the triangle. To get the triangle by itself, you need to undo that subtraction by adding 8 to both sides.

What if the triangle symbol confuses me?

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Think of the triangle \triangle as just another letter like x or y! It represents an unknown number that we need to find. The symbol doesn't change how we solve the equation.

How do I remember which operation to use?

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Use opposite operations! If you see subtraction in the equation, use addition to solve it. If you see addition, use subtraction. Think: What undoes this operation?

Can I check my answer a different way?

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Yes! Besides substituting back, you can think logically: What number minus 8 equals 90? Since 90+8=98 90 + 8 = 98 , the answer must be 98.

What if I get the same variable on both sides?

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That won't happen with this type of problem! When you have 8=90 \triangle - 8 = 90 , adding 8 to both sides gives you =98 \triangle = 98 - the triangle is isolated on one side.

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