How many solutions does the system of equations below have? \(y = \frac{2}{3} x + \frac{3}{8} \;\;\;\;\;\;\; y = \frac{1}{3} x + \frac{2}{3}\)

\(infinitely \, many \, solutions\)

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

\(infinitely \, many \, solutions\)

How many solutions does the system of equations below have? \(y \, = \, -2 \, x \, + \frac{3}{5} \;\;\;\;\;\;\; y = -2 \, x \, - \, 2\)

\(infinitely \, many \, solutions\)

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

Algebra

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Texas Essential Knowledge and Skills

Grade 8 - Mathematical Process Standards

Standard 8.MPS.111.28.b.1B - Identify the number of solutions that a system of equations has, one, none or infinite.

Included Skills: Algebra

Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.