Solve the given simultaneous linear equation in two variables.
The sides of an equilateral triangle are (6x+3y)cm, (8x+9y-5)cm and (10x+12y-8) respectively. Find the length of each side.
[Hint. Take 6x+3=8x+9y-5 as the first equation & 8x+9y-5=10x+12y-8 as the second equation.]
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let a=b=c are the sides of triangle
(6x+3y)=(8x+9y-5)
2x+6y=5 first equation
6x+3y=10x+12y-8
4x+8y=8 second equation
multiplying equation first with -2 and then add with equation second
We get -4y=-2
so,y=1/2
now putting the value of y in equation second
we get 4x+4=8
4x=4
X=1
6×1+3×1/2=15/2
so, each side of the triangle is 15/2 cm
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