Find the value of k for which each of the following system of linear equations has an infinite number of solutions:
2x + 3y = 7, (k - 1)X + (k + 2)y = 3k.
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Answer:
The answer is 7.
Step-by-step explanation:
For infinite solution,
a1/a2 = b1/b2 = c1/c2
if k=1
a1/a2 = 2/0 which is not defined
We will continue the method till we reach answer
if k= 7
a2= 7-1 = 6
b2 = 7+2 =9
c2 = 3*7=21
a1/a2 = b1/b2 = c1/c2 = 1/3
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