Solving simultaneous equations by elimination from a context

12 questions

1. Which equation is true for x = 4 and y = 5?
2. If I add together the pair of simultaneous equations 9x + 3y = 10 and 6x + y = 30, what is the resulting equation?
3. Which equation is true for x = 4 and y = 6?
4. If I add together the pair of simultaneous equations 3x + 2y = 10 and 3y - 3x = 40, what is the resulting equation?
5. Which equation is true for x = -2 and y = 5?
6. If I add together the pair of simultaneous equations 13x + 2y = 10 and 7x - 2y = 40, what is the resulting equation?
7. If ◉ ◉ ◯ = 25 points and ◉ ◉ ◯ ◯ = 30 points, what is the value of ◉?
8. If ◉ ◉ ◯ ◯ = 18 points and ◉ ◯ ◯ = 11 points, what is the value of ◉?
9. If ◉ ◉ ◯ ◯ = 20 points and ◉ ◯ ◯ = 12 points, what is the value of ◯?
10. If ◉ ◉ ◯ = 23 points and ◉ - (◯) = 10 points, what is the value of ◯?
11. If ◉ ◉ ◯ = 17 points and ◉ - (◯) = 10 points, what is the value of ◯?
12. If ◉ ◉ ◉ ◯ = 33 points and ◉ ◉ ◉ ◯ ◯ = 36 points, what is the value of ◉?

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