How many solutions does the system of equations below have? \(y = \frac{1}{3} x + 1 \;\;\;\;\;\;\; y = \frac{9}{10} x - \, 7\)

\(infinitely \, many \, solutions\)

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

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y \, = \, 1 \, x \, + \frac{9}{10} \;\;\;\;\;\;\; y = \frac{1}{7} x + \, 6\)

\(infinitely \, many \, solutions\)

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Kentucky Mathematics Curriculum

Grade 8 - Expressions & Equations

Standard 8.EE.8b - Find the number of solutions to a system of equations.

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.