consider the equation -5x=10x+3=5x+6 would it have one solution, no solutions, or infinitely many solutions
1 answer:
Alright, let's start by simplifying.
Let's get all of the variables on one side.
Subtract 5x from each side to clear the right.
We could also subtract out that 3...
Combining like terms!
If we have 10x, and then subtract 5x and 5x...we're left with zero!
However, this equation can't be true!
Since this always boils down to 0=3 (the variables don't even matter)...
There are no solutions for x that could even make the equation true!
Let's get all of the variables on one side.
Subtract 5x from each side to clear the right.
We could also subtract out that 3...
Combining like terms!
If we have 10x, and then subtract 5x and 5x...we're left with zero!
However, this equation can't be true!
Since this always boils down to 0=3 (the variables don't even matter)...
There are no solutions for x that could even make the equation true!
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