How many solutions does the system of equations below have? \(y \, = \, -2 \, x \, + \frac{1}{3} \;\;\;\;\;\;\; y = -2 \, x \, - \, 2\)

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y \, = \, -5 \, x \, + \frac{1}{2} \;\;\;\;\;\;\; y = -5 \, x \, + \, 9\)

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y \, = \, 6 \, x \, + \, 9 \, \;\;\;\;\;\;\; \, y \, = \, 6 \, x \, + \, 9\)

\(infinitely \, many \, solutions\)

Find the Number of Solutions to a System of Equations - Grade 8

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Grade 8 - Expressions & Equations

Standard 8.EE.3.8b - Identify the number of solutions that a system of equations has, one, none or infinite.

Included Skills:

Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

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