Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
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Test
Math
Domain
Algebra
Skill
Systems of two linear equations in two variables
Difficulty
Medium
ID: cb8f449f
Modded SAT Question Bank by Abdullah Mallik
one half y equals 4
x minus, one half y, equals 2

The system of equations above has solution (x, y). What is the value of x ?

  1. three

     

  2. the fraction 7 over 2

     

  3. four

     

  4. six

     

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Correct Answer: D
Rationale

Choice D is correct. Adding the corresponding sides of the two equations eliminates y and yields x equals 6, as shown.

The equation one half y equals 4, added to the equation x minus one half y, equals 2, gives the equation x plus 0, equals 6

If (x, y) is a solution to the system, then (x, y) satisfies both equations in the system and any equation derived from them. Therefore, x equals 6.

Choices A, B, and C are incorrect and may be the result of errors when solving the system.

 

Question Difficulty: Medium
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