Question 1152352
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While tutor @MathTherapy provides many good solutions to readers' problems, you sometimes need to ignore his pronouncements that another tutor's method is "nonsense" and his method is the "right" way.<br>
Solving the second equation makes PERFECT sense; and it leads to the answer to the problem much faster than his method.<br>
Performing a single basic algebraic operation on the second equation makes the two equations identical; therefore the two original equations are equivalent, and therefore the answer is that the system has an infinite number of solutions.<br>
Using the first equation to substitute into the second and then working with that new equation is far more work than adding 2x to both sides of the second equation.<br>
Note that it is curious that he states that nobody wants to make more work for himself in solving a problem -- and then he does exactly that....!<br>