SOLUTION: I need help understanding how to solve: 9x + 3y = 10.02 6x + 4y = 8.26

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Question 181614: I need help understanding how to solve:
9x + 3y = 10.02
6x + 4y = 8.26

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!





Multiply (1) by 4:



Multiply (2) by -3:



Now that the coefficients on y are additive inverses, add (3) to (4):



Multiply by



Substitute the value for x given in (6) into either (1) or (2) (I choose (1)):






The solution set is the ordered pair (0.85, 0.79)



Looks pretty close to me.

You could also have multiplied (1) by 2 and (2) by -3 (or by -2 and 3) so as to eliminate the x instead of the y, but ultimately the result would have been the same. Verification is left as an exercise for the student.

John