Question( 1)Below u, v, w and x represent different integers, where u = –4 and
x ≠ 1. By using following equations, find each of the values:
u × v = u
x × w = w
u + x = w
(a) v
(b) w
(c) x
Explain your reasoning using the properties of integers.
x ≠ 1. By using following equations, find each of the values:
u × v = u
x × w = w
u + x = w
(a) v
(b) w
(c) x
Explain your reasoning using the properties of integers.
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Below u,v,w and x represent different integers, where u=−4 and x
=1. By using following equations, find each of the values:
u×v=u
x×w=w
u+x=w
(a) v
(b) w
(c) x
Explain your reason using the properties of integers.
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Solution
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(a) Given, u×v=u and u=−4
∴−4×v=−4
⇒v=1 is the multiplicative identity
(b) Given x×w=w∵x
=1
Therefore, x×w=w only possible when w=0
that is x×0=0, x
=1
So, w=0
(c) Given, u+x=w
putting u=−4 and w=0
∴−4+x=0
⇒x=4( transposing −4 to Right hand side )
So, v=1,x=4,w=0
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