How many solutions does the system of equations below have? \(y \, = \, -7 \, x \, + \frac{1}{2} \;\;\;\;\;\;\; y = -7 \, x \, + \frac{6}{7}\)

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y = \frac{3}{8} x + \, 7 \, \;\;\;\;\;\;\; \, \, y \, = \, 1 \, x \, + \frac{5}{7}\)

\(infinitely \, many \, solutions\)

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

\(infinitely \, many \, solutions\)

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Iowa Core Mathematics

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: Algebra

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.