$\"\"$

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

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Rewrite the equation 1: $\"\"$ in slope - intercept form.

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Subtract x from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Multiply each side by negative 1.

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$\"\"$

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$\"\"$ .

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The slope of $\"\"$ is 1 and its y - intercept is 4. $\"\"$

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Rewrite the equation 2: $\"\"$ in slope - intercept form.

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Add 3x to each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Divide each side by 3.

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$\"\"$

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Cancel common terms.

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$\"\"$ .

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The slope of $\"\"$ is 1 and its y - intercept is $\"\"$ .

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The two line equations have same slopes but different y - intercept, so the system has no solution.

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Observe the graph C, the two lines are parallel. The parallel lines do not intersect, so the system has no solution. $\"\"$

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The linear system $\"\"$ match with graph C and it has no solution.