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Question

y = 0.25 x + 12 ;
y = m(x + 3)

In the above system of equations, for what value of constant m, will the system of equation have no solution?

A
1
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B
0.75
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C
0.25
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Solution

The correct option is C 0.25
y = 0.25x + 12
And y = m(x + 3)
y = mx + 3m
For the system to have no solutions, we know the lines representing the equations should be parallel.
Ratio of coefficient of x = ratio of coefficients of y ratio of constants
[Ratio of Coefficient of y ]= [Ratio of Coefficient of x]
11=0.25m
M = 0.25
Ratio of constants =123m=123×0.25=16
Clearly not equal to ratio of coefficients. Hence, C is the correct answer.

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