Write the equation of Number
multiplied by 3 plus 7
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answer 5
Use a variable to represent the unknown number, n. Then write an equation from what is stated in the problem. Finally, use inverse operations to solve for n.
Add 7 to a number (n): n+ 7
Multiply it by 3: (n+7) x 3
We get 36: (n+7) x 3 = 36
Now undoing this equation to solve for n, use opposite (inverse) operation. Goal is to get the variable by itself:
Divide by 3 on both sides: (n+7) x 3 / 3 = 36/3
n + 7 = 12
Subtract 7 on both sides: n + 7 -7 = 12 -7
n = 5
Always check your work. Substitute 5 in to equation everywhere you used n to make sure it checks out. (n+7) x 3 = 36 (5+7) x3 =36 PEMDAS
SO parentheses first, we obtain 12 then multiply by 3 and ensure it equals 36!
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Let the number be ' x ' , then the equation will be:
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