1/3x+y=10/3;2x+1/4y=11/4 solve linear equation
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(*6)1/3x + y =10/3----1 im doing it by elimination meathod
2x = 1/4 =11/4-----2
2x + 6y =20
(-) (-) (-)
+2x + 1/4y=11/4
2x and 2x gets cancelled
6y(4/4) - 1/4y=20(4/4)-11/4
24y-1y = 80-11 cross multiply
------- * -------
4 4
(24y-1y)*4=(80-11)*4
92y=276
y=276/92 (92*3=276)
y=2
substitute y=2 in any one of the equation
2x + 1/4(2) = 11/4
2x + 1/2 = 11/4
2x=11/4- 1/2(2/2) (on taking LCM)
2x=11-2
____
4
x=9/4/2
x=9/4 * 1/2
x=9/8
now substitute both x=9/8,y=2 in any equation for checking purpose
2(9/8) + 1/4 (2)
9/4 + 1/2
9 + 2
____
4
=11/4
//
step-by-step explanation:
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