How many solutions does the system of equations below have? \(y = \frac{1}{5} x + \frac{3}{4} \;\;\;\;\;\;\; y = \frac{1}{5} x + \frac{1}{7}\)

\(infinitely \, many \, solutions\)

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

\(infinitely \, many \, solutions\)

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

\(infinitely \, many \, solutions\)

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Texas Essential Knowledge and Skills

Grade 8 - Mathematical Process Standards

Standard 8.MPS.111.28.b.1D - Find the number of solutions to a system of equations.

Included Skills: Algebra

Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.