Variable And Constant Equations | MCQs

Explanation

The original equation is: b - 15 = 32

Solving:

b = 32 + 15 = 47

Explanation

An open sentence contains a variable (like x) and becomes either true or false only when a value is assigned.

x < 3 is open because its truth depends on the value of x.

Explanation

We are given the equation:

$$7 - m = 12 - n$$

To find$n-m$, solve the equation step-by-step:

Step 1: Rearrange the equation

$$7 - m = 12 - n Rightarrow -m + n = 12 - 7 Rightarrow -m + n = 5 Rightarrow n - m = 5$$

Explanation

Multiply both sides by 2:

$$|3x| = 6 Rightarrow 3x = ±6 Rightarrow x = ±2$$