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At a recent football game the scoreboard read
GUEST 24 HOME 42

All of the points the home team scored came from field goals worth 3 points and touchdowns with successful extra-point attempts worth 7 points.
Write an equation in standard form to represent this situation using x and y as your variables.

Convert your equation to slope-intercept form.

Enter your equation in your calculator and find all the combinations of field goals and touchdowns to reach 42 points.