If $a = 3 x - 5 y, b = 6 x + 3 y$ and $c = 2 y - 4 x$ , then $2 a - 3 b + 4 c .$ $=$

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Solution

If $a = 3 x - 5 y$ then $2 a = 2 (3 x - 5 y)$ = $6 x - 10 y$
$b = 6 x + 3 y$ then $3 b$ = $3 (6 x + 3 y)$ = $18 x + 9 y$
$c = 2 y - 4 x$ then $4 c$ = $4 (2 y - 4 x)$ = $8 y - 16 x$
So, $2 a - 3 b + 4 c$ = $6 x - 10 y - 18 x + 9 y + 8 y - 16 x$
= $6 x - 34 x - 10 y + 17 y$
= $- 28 x + 7 y$

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Similar questions

If a = 3x − 5y, b = 6x + 3y and c = 2y − 4x, find

(i) a + b − c; (ii) 2a − 3b + 4c.

a = 3 x - 5 y, b = 6 x + 3 y

c = 2 y - 4 x

a + b - c

=

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B = 5 x + 4 y

C = 3 y - 3 c

A + B - C

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