Write an equation and solve for the unknown number.

Twice a number, increased by 3 is 7.

5 answers

Let's assume the unknown number is represented by the variable "x".

According to the problem, twice the number increased by 3 is equal to 7. So the equation is:

2x + 3 = 7

To solve for x, we need to isolate it on one side of the equation:

2x = 7 - 3
2x = 4

Now, let's divide both sides of the equation by 2 to solve for x:

x = 4/2
x = 2

Therefore, the unknown number is x = 2.
In Atlanta, the temperature was  −2 °F
 in the morning in the winter. There was a winter storm, and the temperature dropped 10 degrees. What is the temperature now?
To find the temperature now, we need to subtract the 10 degree drop from the initial temperature of -2°F.

Temperature now = Initial temperature - Temperature drop
Temperature now = (-2°F) - 10°F
Temperature now = -12°F

Therefore, the temperature now is -12°F.
Shawn is solving the equation

x/7−47=−6

One of his steps is to multiply both sides of the equation by 7. Why?

(1 point)
Responses

A. Multiplying both sides by 7 undoes the addition in the original problem.
B. Multiplying both sides by 7 undoes the subtraction in the original problem.
C. Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
D. The negative sign in -6 must be changed to positive.
The correct answer is C. Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

By multiplying both sides of the equation x/7 - 47 = -6 by 7, Shawn is eliminating the division of x by 7 on the left side of the equation. This allows him to isolate x and solve for its value.