State True or False:
If $x = 6 a + 8 b + 9 c$ ; $y = 2 b - 3 a - 6 c$ and $z = c - b + 3 a$ ; then $3 y - 2 z - 5 x$ is $- 45 a - 32 b - 65 c$ .

True

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False

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Solution

The correct option is A True
$x = 6 a + 8 b + 9 c;$ $y = 2 b - 3 a - 6 c$ $&$ $z = c - b + 3 a$
The value of $3 y - 2 z - 5 x$ will be,
substitute $x$ $&$ $y$ $&$ $z$ in the expression,
$= 3 (2 b - 3 a - 6 c) - 2 (c - b + 3 a) - 5 (6 a + 8 b + 9 c)$
$= 6 b - 9 a - 18 c - 2 c + 2 b - 6 a - 30 a - 40 b - 45 c$
$= 45 a - 32 b - 65 c$
Hence, the answer is true.

Suggest Corrections

Similar questions

x = 6 a + 8 b + 9 c

y = 2 b - 3 a - 6 c

z = c - b + 3 a

x + y + z

6 a + 9 b + 4 c

If x=6a+8b+9c;y=2b-3a-6c and z=c-b+3a ; find

(i) x+y+z (ii) x-y+z

(iii) 2x-y-3z (iv) 3y-2z-5x

(a - 2 b + 5 c) (a - b) - (a - b - c) (2 a + 3 c) + (6 a + b) (2 c - 3 a - 5 b)

19 c a - 37 a b - 19 a^{2}

(3 a^{2} - 8 a b - 2 b^{2}) - (3 a^{2} - 4 a b + 6 b^{2}) = - 4 a b - 8 b^{2}

a + 2 b + c = 0

a^{3} + 8 b^{3} + c^{3} = 6 a b c

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