Question

x + 4 = 7 and x = 3 are equivalent equations because they have the same solution.
1 write an equivalent equation to x = -7.
2 write an equivalent equation to x = -2.

Explanation:

Sub - Question 1

Step 1: Recall the concept of equivalent equations

Equivalent equations have the same solution. To create an equivalent equation to \(x=-7\), we can perform the same operation on both sides of the equation. Let's add 5 to both sides.

Step 2: Perform the operation

Starting with \(x = - 7\), add 5 to both sides: \(x+5=-7 + 5\)
Simplify the right - hand side: \(x + 5=-2\)

Step 1: Recall the concept of equivalent equations

We know that equivalent equations have the same solution. Let's multiply both sides of the equation \(x=-2\) by 2.

Step 2: Perform the operation

Multiply both sides of \(x=-2\) by 2: \(2x=2\times(-2)\)
Simplify the right - hand side: \(2x=-4\)

Answer:

\(x + 5=-2\) (other valid answers like \(x-3=-10\) etc. are also possible)

Sub - Question 2