Question

This system of equations is:This system of equations is:This system of equations is:consistent dependentconsistent independentinconsistentconsistent dependentconsistent independentinconsistentconsistent dependentconsistent independentinconsistentThis means the system has:This means the system has:This means the system has:a unique solutionSolution: 00a unique solutionSolution: 0.0O a unique solutionSolution: 0.0no solutioninfinitely many solutionsno solutioninfinitely many solutionsno solutioninfinitely many solutions

Answer 1

$\begin{gathered} \text{System A} \\ This\text{ system of equations is }independent\text{ } \\ This\text{ means the system has }aunique\text{ solution }\colon\text{ (-2,}-3\text{)} \\ \\ \text{System B} \\ line\text{ 1 =}y=-\frac{3}{2}x-1 \\ line\text{ 2 = }3x+2y=-2 \\ 2y=-3x-2 \\ y=-\frac{3}{2}x-1 \\ line\text{ 1= line 2} \\ This\text{ system of equations is }dependent\text{ } \\ This\text{ means the system has }infinitely\text{ }many\text{ solutions} \\ \\ \text{System C} \\ This\text{ system of equations is }inconsistent\text{ } \\ This\text{ means the system has no solution} \end{gathered}$