Which description represents this equation?
7x – 2 = 33
Two times the quantity of seven less than a number equals thirty-three.
Seven less than two times a number equals thirty-three.
Two less than seven times a number equals thirty-three.
Seven times two minus a number equals thirty-three.
Two less than seven times a number equals thirty-three.
To determine which description represents the given equation 7x - 2 = 33, we first need to understand what the equation means.
In this equation, 7x represents a number multiplied by 7, and 33 is a constant value. The minus sign (-) indicates subtraction, and the number 2 is being subtracted from 7x.
To find the value of x that satisfies the equation, we can follow these steps:
Step 1: Move the constant term to the other side of the equation.
By adding 2 to both sides of the equation, we get:
7x - 2 + 2 = 33 + 2
This simplifies to:
7x = 35
Step 2: Isolate the variable term.
Divide both sides of the equation by 7:
7x/7 = 35/7
This simplifies to:
x = 5
Therefore, the solution to the equation 7x - 2 = 33 is x = 5.
Now, let's determine which description represents this equation. Given the equation 7x - 2 = 33, it represents the situation where a number multiplied by 7, with 2 subtracted, equals 33.