now do the same but with this expression
Solve the following equation, show inverse operations to prove your answer:
4x – 13 = 13
To solve the equation 4x - 13 = 13, we need to isolate the variable x.
1. Start with the given equation: 4x - 13 = 13
2. Add 13 to both sides of the equation to get rid of the constant -13:
4x - 13 + 13 = 13 + 13
4x = 26
3. Divide both sides of the equation by 4 to isolate the variable x:
4x/4 = 26/4
x = 6.5
Therefore, the solution to the equation 4x - 13 = 13 is x = 6.5.
Inverse operations:
1. Start with the solution x = 6.5.
2. Multiply both sides of the equation by 4 to undo the division done previously:
4(x) = 4(6.5)
4x = 26
3. Add 13 to both sides of the equation to undo the subtraction done previously:
4x + 13 = 26 + 13
4x + 13 = 39
Thus, the inverse operations of the solution x = 6.5 are 4x = 26 and 4x + 13 = 39, which confirm the validity of the answer.
can you shorten this a little please
Sure! Here's a shorter version:
To solve 4x - 13 = 13, we can follow these steps:
1. Add 13 to both sides: 4x = 26
2. Divide both sides by 4: x = 6.5
Therefore, x = 6.5 is the solution to the equation. Inverse operations: 4x = 26 and 4x + 13 = 39 confirm the answer.