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Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty.
Clare makes 6 goals and 3 penalties, ending the game with 6 points.
Noah earns 8 goals and 9 penalties and ends the game with \(\text-22\) points.
Write a system of equations that describes Clare's and Noah's outcomes. Use \(x\) to represent the number of points for a goal and \(y\) to represent the number of points for a penalty.
Solve the system. What does your solution mean?
Estimate the coordinates of the point where the two lines meet.
<p>The graph of two intersecting lines in the xy-plane. Scale negative 1 through 5 on both axes. The first line slants upward and right, crosses y axis at 0, and passes through the point 3 comma 2. The second line slants downward and to the right, crosses the y axis at 6, and passes through the point 2 comma 1.</p>
Select 2 equations that make up the system represented by the graph.