What is the solution of x+4y=3; 3x=2y+2?
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Step-by-step explanation:
x+4y=3 ....(1)
3x=2y+2 .. Rearranging
3x-2y=2 ....(2)
Multiplying equ (1) by 2 & equ (2) by 4 we get,
2x+8y=6 ...(3)
12x-8y=8 ...(4)
Adding equ (3) & equ (4)
2x+8y=6
+ 12x-8y=8
14x+0y=14
14x=14
x= 14
14
x= 1
Substituting the value of x=1 in equ (1)
x+4y=3
1+4y=3
4y=3-1
4y = 2
y= 2
4
y= 1
2
(x,y) = ( 1,1/2 )
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