$\"\"$

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The system of equations are $\"\"$ and $\"\"$ .

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The slope-intercept form of line equation is $\"\"$ .

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Rewrite the equations in standard form.

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Case (i):

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$\"\"$ (Original equation)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Case (ii):

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$\"\"$ (Original equation)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The system of equations are $\"\"$ and $\"\"$ .

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$\"\"$

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Graph:

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Graph the equations $\"\"$ and $\"\"$ :

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$\"\"$

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Observe the graph:

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The graphs appear to intersect at $\"\"$ .

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The lines intersect at one point.

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Therefore, there is one solution.

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The system is consistent and independent.

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$\"\"$

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Check solution for $\"\"$ value.

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Case (i):

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Subtract: $\"\"$ )

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Case (ii):

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$

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The solution of the system is $\"\"$ .

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The system is consistent and independent and has one solution.