How many solutions does the system of equations below have? \(y \, = \, -6 \, x \, + 3 \;\;\;\;\;\;\; y = \frac{2}{3} x + \frac{1}{4}\)

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y \, = \, 3 \, x \, - \, 6 \, \;\;\;\;\;\;\; \, \, y \, = \, -7 \, x \, + \, 4\)

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y = \frac{4}{9} x + \frac{1}{6} \;\;\;\;\;\;\; y = \frac{4}{9} x + \frac{1}{6}\)

\(infinitely \, many \, solutions\)

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

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Grade 8 - Expressions & Equations

Standard 8.EE.C.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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