Question

write four equations involving variables, each using a different operation (add,subtract,multiply and divide), that are true when 5 is substituted for the variable

Answer 1

1. Addition: x + 3 = 8, when x = 5

2. Subtraction: x - 2 = 3, when x = 5

3. Multiplication: x * 4 = 20, when x = 5

4. Division: x / 2 = 2.5, when x = 5

Explanation:

Each uses a different operation (add, subtract, multiply, and divide), that is true when 5 is substituted for the variable:

To write four equations that are true when 5 is substituted for the variable:

1. Choose a variable, such as "x."

2. Write an equation using the variable and one of the four basic arithmetic operations (addition, subtraction, multiplication, or division), such as "x + 3 = 8" for addition.

3. Substitute 5 for the variable, such as "5 + 3 = 8" when using the previous example.

4. Simplify the equation to make sure that it is true when 5 is substituted for the variable, such as "8 = 8" for the example of "x + 3 = 8" when x = 5.

Repeat this process for the other three basic arithmetic operations (subtraction, multiplication, and division) to create four equations that are true when 5 is substituted for the variable. Here are examples of each operation:

Addition: 5 + 7 = 12

Subtraction: 9 - 5 = 4

Multiplication: 5 x 4 = 20

Division: 25 / 5 = 5

These equations are all true when 5 is substituted for the variable.

Answer 2

Sure, here are four equations involving variables, each using a different operation, that are true when 5 is substituted for the variable:

Addition: x + 3 = 8
When x = 5, the equation becomes: 5 + 3 = 8, which is true.
Subtraction: x - 2 = 3
When x = 5, the equation becomes: 5 - 2 = 3, which is true.
Multiplication: x * 4 = 20
When x = 5, the equation becomes: 5 * 4 = 20, which is true.
Division: x / 2 = 2.5
When x = 5, the equation becomes: 5 / 2 = 2.5, which is true.
In each of these equations, substituting 5 for the variable makes the equation true, which means that 5 is a solution of the equation.