Question

solve 37x+43y=123 and 43x+37y=117 in elemination method​

Answer 1

adding this 2 equation
37x+43y=123
43x+37y=117
_________
80x+80y=240
devide by 80
x+y=3------(1)
subtract
37x+43y=123
-43x+37y=117
-. -. -
___________
-6x + 6y=-006

devide by -6
x-y=1.............. (2)

adding equation 1 and 2


x+y=3
+x-y=1
______
2x=4

x=4/2

x=2

put x=2in equation 1

x+y=3
2+y=3
y=3-2
y=1

(x,y)=(2,1)