Solve the Triangle Symbol Equation: △-3=70

Linear Equations with Symbol Variables

Determine the numerical value of the triangle:

3=70 \triangle-3=70

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Step-by-step written solution

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1

Understand the problem

Determine the numerical value of the triangle:

3=70 \triangle-3=70

2

Step-by-step solution

To solve the equation 3=70 \triangle - 3 = 70 , we will use basic algebra to isolate the value of \triangle.

We start by adding 3 to both sides of the equation to isolate \triangle:

3+3=70+3 \triangle - 3 + 3 = 70 + 3

Notice that 3+3 -3 + 3 on the left side simplifies to 0, which leaves us with:

=70+3 \triangle = 70 + 3

Now, perform the arithmetic on the right side:

=73 \triangle = 73

Hence, the numerical value of the triangle is 73 73 .

3

Final Answer

73 73

Key Points to Remember

Essential concepts to master this topic
  • Inverse Operations: Add 3 to both sides to cancel subtraction
  • Technique: 3+3=70+3 \triangle - 3 + 3 = 70 + 3 gives =73 \triangle = 73
  • Check: Substitute back: 733=70 73 - 3 = 70 matches original equation ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting 3 from both sides instead of adding
    Don't subtract 3 from both sides: 33=703 \triangle - 3 - 3 = 70 - 3 = 6=67 \triangle - 6 = 67 ! This makes the equation harder to solve and gives the wrong answer. Always use the opposite operation to isolate the variable.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why does the triangle symbol represent a number?

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The triangle \triangle is just a variable like x or y! It represents an unknown number we need to find. Think of it as a placeholder for the mystery value.

How do I know whether to add or subtract 3?

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Look at what's happening to the variable! Since we have 3 \triangle - 3 , we need to undo the subtraction by adding 3 to both sides. Always do the opposite operation.

What if I get confused by the symbol?

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Try replacing the triangle with x in your head! The equation becomes x3=70 x - 3 = 70 , which might feel more familiar. The solving steps are exactly the same.

Can I check my answer a different way?

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Yes! Think logically: "What number minus 3 equals 70?" You can count up from 70: 70+3=73 70 + 3 = 73 . This mental math confirms your algebraic solution!

Do I always add to both sides when isolating variables?

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Not always! You do whatever opposite operation is needed. If the equation was +3=70 \triangle + 3 = 70 , you'd subtract 3 from both sides instead.

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