Question

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answer 1

The following equations are equivalent: 2 + x = 5, x + 1 = 4, and -5 + x = -2. These three options are A, B, and E.

To find equivalent equations, we can simplify them by using algebraic operations such as adding, subtracting, multiplying, or dividing both sides by the same number. Equivalent equations have the same value for x when we solve them.

For example, to simplify 2 + x = 5, we can subtract 2 from both sides and get x = 3. Similarly, to simplify x + 1 = 4, we can subtract 1 from both sides and get x = 3. To simplify -5 + x = -2, we can add 5 to both sides and get x = 3. Therefore, these three equations are equivalent because they have the same solution for x.

Explanation: