Solve the simultaneous equations x + y = 6 and 2x + y = 8. What is the value of x?

Answer and explanation

Correct answer: B. 2

  1. Step 1: Subtract the first equation from the second: (2x + y) - (x + y) = 8 - 6, so x = 2. Step 2. Check in the first equation: y = 6 - 2 = 4, and 2(2) + 4 = 8. Answer: 2. Why not the others: 4: That is the value of y, found from x + y = 6. 3: Subtracting the two equations gives x exactly; one more does not satisfy both equations. 1: Subtracting the two equations gives x exactly; one less does not satisfy both equations.

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