Question 348579
41x+53y=135
53x+41y=147

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add the two equations
94x+94y=282
divide by 94
x+y=3....................1
....
subtract the two equations
-12x+12y=-12
divide by -12
x-y = 1................2
add 1 &2
2x=4
x= 2
y=1