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Solving Equations with Variables on Both Sides

If A = 4 x ...

Question

If $A = 4 x - 6 y$
$B = 5 x + 4 y$
$C = 3 y - 3 c$ ,
then find the value of
i) $A + B - C$
ii) $2 A - 3 B + 4 C$

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Solution

$A = 4 x - 6 y, B = 5 x + 4 y, C = 3 y - 3 c (i) A + B - C = 4 x - 6 y + 5 x + 4 y - 3 y + 3 c = 9 x - 5 y + 3 c (i i) 2 A - 3 B + 4 C = 8 x - 12 y - 15 x - 12 y + 12 y - 12 c = - 7 x - 12 y - 12 c$

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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

2 a - 3 b + 4 c .

=

a^{2} + b^{2} + c^{2} = 2 (a - b - c) - 3

then find the value of

2 a - 3 b + 4 c

2 A = 3 B = 4 C

, Find A : B : C

2 \to a + 3 \to b + 4 \to c = 0 \Rightarrow \to a \times \to b + \to b \times \to c + \to c \times \to a =

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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