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) (Show Source): You can put this solution on YOUR website!
 }\math 9x + 3y = 10.02)
 }\math 6x + 4y = 8.26)
Multiply (1) by 4:
 }\math 36x + 12y = 40.08)
Multiply (2) by -3:
 }\math -18x - 12y = -24.78)
Now that the coefficients on y are additive inverses, add (3) to (4):
 }\math 18x + 0y = 15.3)
Multiply by 
 }\math x = \frac {15.3}{18} = 0.85)
Substitute the value for x given in (6) into either (1) or (2) (I choose (1)):
 + 3y = 10.02)
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
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