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What is the value of x in the system below?

  1. 2

  2. −2

  3. 4

  4. −4

The correct answer is: −2

In this system, there are two equations and two unknown variables, x and y. We can solve for both unknowns by using the elimination method. The given equations are 2x - 2y = -8 and 4x + 4y = -16. By multiplying the first equation by 2, we can eliminate the y variable and solve for x. The resulting equation is 4x - 4y = -16. When we subtract this equation from the second equation, we get 8x = 8. Therefore, x = 1. Substituting x=1 in either original equation, we can solve for y, which is also equal to -1. Both values of x and y satisfy the given system. Therefore, the value of x in this system is -1. Option A is incorrect because 2 is the value of y,