SOLUTION: solve for x and y: 67x -66y =664; 95x -53y =698

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Question 1130816: solve for x and y: 67x -66y =664; 95x -53y =698
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The numbers get ugly; but the process is straightforward.

Multiply the first equation by 53 and the second by 66. That will make the coefficients of y in the two equations the same; subtracting one equation from the other will then eliminate y, giving you an equation you can solve to find the value of x.

Then substitute that value of x in either of the original equations and solve the resulting equation for y.


I've done the arithmetic for thousands of problems like this; I don't need the practice.

You can do the arithmetic and get the practice.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

67x+-66y+=664---eq.1...both sides multiply by 53
95x+-53y+=698+---eq.2...both sides multiply by 66
--------------------------------------
3551x+-3498y+=35192---eq.1
6270x+-3498y+=46068+---eq.2
------------------------------------------------subtract
3551x+-3498y+-%286270x+-3498y%29+=35192-46068
3551x+-cross%283498y%29+-6270x+%2Bcross%283498y%29+=-10876
-2719x+=-10876
x+=-10876%2F-2719
highlight%28x+=4%29

go to 67x+-66y+=664---eq.1, substitute x
67%2A4+-66y+=664
268-66y+=664
-66y+=664-268
-66y+=396
y+=396%2F-66
highlight%28y+=-6%29