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The following system of equations has no solution. \(\begin{array}{l} x-y=-2\\ \\x-y=1\end{array}\) How would you know? One way would be to try and solve the system, and see that you get an untrue statement. Another would be to realize that the first equation is saying that x–y is one number, while the second equation is saying that x–y has a different value. These can’t both be true.

Absolute Value Equations. Follow these steps to solve an absolute value equality which contains one absolute value: Isolate the absolute value on one side of the equation. Is the number on the other side of the equation negative? If you answered yes, then the equation has no solution. If you answered no, then go on to step 3.

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A system of two linear equations has no solution. The first equation is 3 x + y = −5. Select the second equation that would make this system have no solution.

Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction. Watch this tutorial and learn what it takes for an equation to have no solution.

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How to know if an equation has Infinitely Many Solutions or No Solution? We look at these 2 special cases in this free math video tutorial by Mario's Math Tu...

2 days ago · As Example:, 8x 2 + 5x – 10 = 0 is a quadratic equation. Root of quadratic equation: Root of a quadratic equation ax 2 + bx + c = 0, is defined as real number α, if aα 2 + bα + c = 0. The zeroes of the quadratic polynomial and the roots of the quadratic equation ax 2 + bx + c = 0 are the same. Solution of a Quadratic Equation by different ...