Question

the difference of twice a number and five is three. find the number. translate the word problem to an equation. which steps describe how to solve the equation? add 2 then multiply by multiply by then add 5 add 5 then multiply by subtract 5 then multiply by -

Answer 1

Answer:

The number is 4.

The step describe to solve the problem is: add five and then multiply by $\frac{1}{2}$

Step-by-step explanation:

Let the number be x.

As per the given condition as:

The difference of twice a number and five is three.

"Twice a number" means $2x$

"difference of twice a number and five" means $2x -5$

therefore, the translation of the given word problem to an equation is:

$2x-5 =3$

Now, solve the equation : $2x-5 =3$

Addition Property of equality states that you add the same number to both sides of an equation.

Add 5 to both sides of an equation we get;

2x-5+5=3+5

Simplify:

2x = 8

Multiplication property of equality states that you multiply the same number to both sides of an equation.

Multiply by $\frac{1}{2}$ both sides we get;

$2x \times \frac{1}{2} = 8 \times \frac{1}{2}$

Simplify:

x = 4

The steps which describe to solve the problem is: add five and then multiply by $\frac{1}{2}$

Therefore, the number x = 4

Answer 2

LEt the number be x.
2x - 5 = 3
2x = 3 + 5 = 8
x = 8/2 = 4

To solve the equation: add 5 to both sides and then multiply by 1/2.