Without solving the equations, decide how many solutions the system has. 8-7=y x

Question

Without solving the equations, decide how many solutions the system has. 8-7=y xy One solution since the second equation can be written as a linear equation that has a different slope from the first equation No solutions since the second equation is not a linear equation. Infinitely many solutions. one solution since the graph of a linear equation must intersect the graph of a non-linear equation at exactly one point. No solutions since the second equation can be written as a linear equation that is parallel to but does not overlap with the first equation.

Explanation / Answer

Since the second equation is similar to the first one, the resulting equation becomes 0=0. Hence the system of equation has infinitely many solutions.

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