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It depends on the equation. It could have one, it could have an infinite number.
Multiply the top equation by -3 and the bottom equation by 2.
If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.