Question 1153725
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First, you write this basic equation from the condition


    3*y1 - 14*y2 = y3 - 89.           (1)


Then you substitute given expressions for y1, y2 and y3 into this equation.  You get


    3*(5x+3) - 14*(x+7) = x - 89.     (2)


Next, you simplify the equation step by step


    15x + 9 - 14x - 98 = x - 89

    (15x - 14x) + (9 - 98) = x - 89

     x          + (-89)    = x - 89

     x - x                 = 89 - 89

     0                     = 0.


You get a true identity.  It means that equations (1) and/or (2) has INFINITELY MANY solutions.


Any value of x provides a valid solution.


The <U>ANSWER</U> is option B.
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Solved, answered, explained and completed.