第 7 單元，第 1 課

Graphing Systems of Equations用圖解方程組

背單字

system of equations方程組（聯立方程式）
The equations \(y = x + 1\) and \(y = 3x - 5\) form a system of equations.
solution of a system方程組的解
The pair \((3, 4)\) is the solution of a system made of \(y = x + 1\) and \(y = 3x - 5\).
consistent system相容方程組
A system whose lines cross at \((1, 2)\) is a consistent system.
inconsistent system不相容方程組
The equations \(y = 4x\) and \(y = 4x + 7\) make an inconsistent system because the lines are parallel.
independent system獨立方程組
Two lines with slopes \(2\) and \(-3\) form an independent system with exactly one solution.
dependent system相依方程組
The equations \(y = x - 1\) and \(3y = 3x - 3\) form a dependent system.
infinitely many solutions無限多解
Because both equations describe the line \(y = 5x + 2\), the system has infinitely many solutions.

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