X + k y = 1
k x + y = 1 / * ( - k )
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x + k y = 1
- k² x - k y = - k
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x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.
Answer: 7/8
Step-by-step explanation:
You can change all the fractions to have equivalent denominators.
The Least Common Denominator of 1 1/4 and 3/8 is 8. Now we can change the fractions.
1 1/4 = 1 2/8 = 10/8.
3/8 = 3/8.
Now we can subtract. Subtract the numerators of the first fraction from the numerators of the second fraction, and the denominators oft he first fraction to the denominators of the second fraction.
10/8 - 3/8 = 7/8.
Therefore, 1 1/4 - 3/8 = 7/8; the fourth answer.
Answer:45
Step-by-step explanation: divide 405 by 9
