2. Find the value of k for which the system of equations x + y − 4 = 0 and 2x + k y = 3, has no solution.
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Answer:
x+y−4=0
2x+ky=3⇒2x+ky−3=0
a1x+b1y+c1=0
a2x+b2y+c2=0
For no solution
a2a1=b2b1=c2c1
So, 21=k1=−3−4
21=k1
∴k=2
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