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

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

Subtract x from each side.

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Divide each side by 3.

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$\"\"$ .

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

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

Add 2x to each side.

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Divide each side by negative 6.

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Cancel common terms.

$\"\"$ .

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

The two line equations have same slope and the same y - intercept, so the system has infinitely many solutions.

Observe the graph A, the two equations represent the same line, so any point on the line is a solution. So, the linear system has infinitely many solutions. $\"\"$

The linear system $\"\"$ match with graph A and it has infinitely many solutions.