$\"\"$

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Consider the number of points required to drive the race car simulator is $\"\"$ and to drive the snowboard simulator is $\"\"$ .

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Marcus used $\"\"$ points from his game card to drive the race car simulator and snowboard simulator four times each.

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Hence, the equation is $\"\"$ .

\

Cody used $\"\"$ points from his game card to drive the race car simulator five times each and snowboard simulator three times each.

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Hence, the equation is $\"\"$ .

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

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Cramer $\"\"$ s rule: Solutions of the system of equations $\"\"$ and $\"\"$ for $\"\"$ .

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Co-efficient matrix $\"\"$ .

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Caluculate the determinant of matrix $\"\"$ .

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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Number of points required to drive the race car simulator is $\"\"$ .

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Number of points required to drive the the snowboard simulator is $\"\"$ .