nine more than four times a number is the same as one less than twice the number.find the number.

4x + 9 = 2x -1
Subtract 2x from both sides
Subtract 9 from both sides
2x = -10
Divide by 2 on both sides
x = -5
The answer is -5
I hope this helps you!

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ap8997154 ap8997154 · Answer 2 · 2022-01-17T07:45:55+01:00

The number is -5.

Expression

In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.

Given to us,

nine more than four times a number is the same as one less than twice the number.

Assumption

Let's assume that the number is x.

Part 1

nine more than four times a number,

So,

[tex]4x +9[/tex]

Part 2

one less than twice the number.

So,

[tex]2x - 1[/tex]

equating

Now equating part 1 and part 2,

[tex]4x+9 = 2x-1\\4x-2x = -1-9\\2x = -10\\x = \dfrac{-10}{2} = -5[/tex]

Hence, the number is -5.

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