The same variable on both sides?
If not, just any linear equation with two variables will work, such as
2x+3 = y-7
You can pick any value for x (or y) and find a solution for the other variable.
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.
I have no idea?
5 answers
OK what?
if it has to be the same variable on both sides try something like:
7x + 1 = 3x + 5 + 4x -4
in other words
0 x = 0
7x + 1 = 3x + 5 + 4x -4
in other words
0 x = 0
Try, 3x + 5 = 3x + 5
As you can see the equation is equal to itself and if you subtract 3x from both sides you will get 5 = 5. The idea behind infinite solutions is that no matter what number you use for the variable, in this case x, the answer will always be true.
Let x = -4
So, 3x + 5 = 3x + 5
3(-4) + 5 = 3(-4) +5
-7 = -7
As you can see the equation is equal to itself and if you subtract 3x from both sides you will get 5 = 5. The idea behind infinite solutions is that no matter what number you use for the variable, in this case x, the answer will always be true.
Let x = -4
So, 3x + 5 = 3x + 5
3(-4) + 5 = 3(-4) +5
-7 = -7
Thank you Farohw!