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x - 3y = -2
y= 5/x
The values of x that satisfy the system of equations above also satisfy which of the following equations?
  • a)
    (x - 5)(x + 3) = 0
  • b)
    (x - 3)(x + 5) = 0
  • c)
    (x - 2)(x - 5) = 0
  • d)
    (x + 2)(x + 5) = 0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
x - 3y = -2y= 5/xThe values of x that satisfy the system of equations ...
First, notice that the question is only asking us to find values of x, so it’s a good idea to substitute in order to eliminate y from the system. x - 3y = -2 
Substitute y = 5/x: 
Multiply by x and simplify: x2 - 15 = -2x
Add 2x: x2 + 2x - 15 = 0
Factor using Sum-Product Method: (x - 3)(x + 5) = 0
Therefore, the values of x that satisfy the original system also satisfy the equation (x - 3)(x + 5) = 0.
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x - 3y = -2y= 5/xThe values of x that satisfy the system of equations above also satisfy which of the following equations?a)(x - 5)(x + 3) = 0b)(x - 3)(x + 5) = 0c)(x - 2)(x - 5) = 0d)(x + 2)(x + 5) = 0Correct answer is option 'B'. Can you explain this answer?
Question Description
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