Solve the simultaneous equations x + y = 6 and 2x + y = 11. What is the value of x?

Answer and explanation

Correct answer: B. 5

  1. Step 1: Subtract the first equation from the second: (2x + y) - (x + y) = 11 - 6, so x = 5. Step 2. Check in the first equation: y = 6 - 5 = 1, and 2(5) + 1 = 11. Answer: 5. Why not the others: 1: That is the value of y, found from x + y = 6. 6: Subtracting the two equations gives x exactly; one more does not satisfy both equations. 4: Subtracting the two equations gives x exactly; one less does not satisfy both equations.

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