When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtract 7 from the same number and then multiplied by 11. what is the number?

Respuesta :

Let n be the number. Then:
4n-7=(n-7)11
4n-7=11n-77
7n=70
n=10
10 is your number
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10 is the number.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

According to the question

When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtract 7 from the same number and then multiplied by 11.

Let x be the number

Rewriting the mathematical equation

[tex]4x - 7 = (x - 7) \times 11[/tex]

[tex]4x-7=11x-77[/tex]

[tex]11x-4x=-7+77[/tex]

[tex]7x=70[/tex]

[tex]x=\frac{70}{7}[/tex]

[tex]x=10[/tex]

10 is the number.

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