Find whether the equations x- 2y = 0, 3x + 4y - 20 = 0 have unique solution , many
solution or no solution, without solving, by comparing the ratios of coefficients.
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Solve x-2y=0; 3x+4y=20
Given: x-2y=0
3x+4y=20
We need to find the values of x and y
x-2y=0 ————-(i)
3x+4y=20————-(ii)
Multiplying Equation (i) by 2 we get
2x-2y=0———–(iii)
Solving equations (ii) and (iii) we get,
3x+4y=20
2x-4y=0
_________
5x=20
x=5
Substituting the value of x in equation (i) we get,
5-2y=0
-2y=-5
2y=5
y=5/2
Hence x= 5 and y = 5/2
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