Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.
x = 5
7x + 13 = 13x - 17
=48
Am I on the right track? I'm not sure if I fully understand the question..
You are on the right track, but the equation you provided does not have a variable on both sides of the equal sign. Let me provide you with a correct example.
An equation with infinitely many solutions can be written as:
x + 2 = x + 5
To solve this equation, we need to get the variable (x) on one side of the equation. We can do this by subtracting x from both sides:
x - x + 2 = x - x + 5
2 = 5
When we simplify the equation, we get the statement 2 = 5, which is obviously false.
The reason this equation has infinitely many solutions is that when we subtract x from both sides, we are essentially eliminating the variable from the equation. Therefore, any value for x will satisfy the original equation. This means that there are infinitely many values for x that make the equation true.
In this case, we can say that the value of x can be any real number, such as 0, 1, 2, -1, -2, and so on. All these values will satisfy the equation x + 2 = x + 5.
You are not even close...
5x + 89=5(x+7)