solve by cross multiplication method

ax + by = a +2b

x/a = y/b

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Question

solve by cross multiplication method
ax + by = a +2b
x/a = y/b

Harleen Birdi · Accepted Answer

$a x + b y = a + 2 b \Rightarrow a x + b y + {(a + 2 b)} = 0 \frac{x}{a} = \frac{y}{b} \Rightarrow b x - a y = 0$

By cross-multiplication, we have

$\frac{x}{b \times 0 - (- a) {- a (a + 2 b)}} = \frac{- y}{a \times 0 - b {- (a + 2 b)}} = \frac{1}{a (- a) - b (b)} \Rightarrow \frac{x}{a (a + 2 b)} = \frac{- y}{b (a + 2 b)} = \frac{1}{- (a^{2} + b^{2})} \Rightarrow x = \frac{- a (a + 2 b)}{a^{2} + b^{2}}, y = \frac{b (a + 2 b)}{a^{2} + b^{2}}$

solve by cross multiplication method ax + by = a +2b x/a = y/b

solve by cross multiplication method

ax + by = a +2b

x/a = y/b