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What is 2x-3y equals -2?
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
Is 2x2 plus 7 equals 79 linear or quadratic?
It is a quadratic equation that has 2 solutions
Is y equals 5x2 plus 2 a linear equation?
Assuming that the 2 in "5x2" is a power (5x2), then no, this is not a linear equation. It is a parabolic equation.
What is y-c equals -2?
It is a linear equation in two unknown variables, y and c. One linear equation in two unknowns cannot be solved, it can only be arranged so that one or the other variable is the subject of the equation. However, that requires you to identify which variable is to be made the subject of the equation.
How can you tell when an equation in one variable has infinitely many solutions or no solutions?
There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
