If x + y = 5, then the value of (x − 2)3 + (y − 3)3 is
27
0
125
64
8
27
0
125
64
8
Given, x + y = 5
Therefore, x = 5 − y
(x − 2)3 + (y − 3)3
= (5 − y − 2)3 + (y − 3)3
= (3 − y)3 + (y − 3)3
= [−(y − 3)3] + (y − 3)3
= −(y − 3)3 + (y − 3)3
= 0
SUBSTITUTION METHOD
Given equation: x + y = 5
Select any value of (x, y) which satisfies the equation.
(2, 3), (3, 2), (4, 1) are some of the values which satisfy the equation.
Let us consider x = 2 and y = 3 in (x − 2)3 + (y − 3)3
We get, (2 − 2)3 + (3 − 3)3 = 0
Study the passage carefully and answer the following questions. India is chiefly an agricultural land. The cultivation of crops depends on a proper supply of water throughout the year. Since olden times, large parts of our country have suffered from occasional periods of too much rain and those of drought. People have known that if…
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