Elimination Method:

The equations of linear system are .

Since the coefficient of both x and y - terms in two equations are additive inverse. So, eliminate these terms by adding the equations.

Write the equations in column form and add to eliminate both variable x and y.

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The statement is not true, so the linear system has no solution.

The equations of linear system are .

Since the coefficient of both x and y - terms in two equations are additive inverse. So, eliminate these terms by adding the equations.

Write the equations in column form and add to eliminate both variable x and y.

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The statement is true, so the linear system has infinitely many solutions.

The equations of linear system are .

Since the coefficient of the y - terms in two equations, are additive inverse. So, eliminate these terms by adding the equations.

Write the equations in column form and add to eliminate both variable x and y.

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The resultant equation is and solve for x.

Divide each side by negative 2.

Cancel common terms.

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Substitute the value of in either of the original equations and solve for y.

The equation 1: .

Subtract 9 from each side.

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The solution is .

The option C is correct answer.