Find values of a and b such that the system of linear equations has no solution. x+2y=3 ax+by=-9

illusiia

illusiia

Answered question

2021-03-03

Find values of a and b such that the system of linear equations has no solution.
x+2y=3
ax+by=-9

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-03-05Added 169 answers

To find values of a,b such that given system has no solution:
Linear equations with no solution are inconsistent equation or the graph of such equations do not intersect that is these lines are parallel.
Consider the first equation,
x+2y=3
2y=x+3
y=x2+3
Above equation has slope 12.
Consider another equation,
ax+by=-9
by=ax9
y=axb9b
Slope of above equation is ab.
As given system of equations have no solution the given equations are parallel lines and they have same slopes.
That is,
ab=12
Rigowa=1, b=2
Thus, for a = 1 and b = 2 , the given system has no solution.

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