Respuesta :

Answer:

The answer is 7

Step-by-step explanation:

5x+2x=49-2x+2x

7x=49+0

7x/7=49/7

x=7

The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Five times a number is 49 greater than the product of 2 and the opposite of the number.

Let the number is x:

From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:

5x + 2x = 49 - 2x + 2x

After solving the above equation:

7x = 49

x = 49/7

x = 7

Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.

Learn more about the linear equation here:

brainly.com/question/11897796

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