Question

# $$\dfrac{2x}{a}+\dfrac{y}{b}=2$$$$\dfrac{x}{a}-\dfrac{y}{b}=4$$.

Solution

## We are givenm$$\dfrac {2x}{a}+\dfrac {y}{b}=2---(1)$$$$\dfrac {x}{a}-\dfrac {y}{b}=4---(2)$$Now, odd equation $$(1)$$ with equation $$(2)$$ we get$$\dfrac {3x}{a}=6\ \Rightarrow \boxed {x=2a}$$ or $$\boxed {a=\dfrac {x}{2}}$$now put $$x=2a$$ in the equation $$(1)$$ we get,$$\dfrac {2(2a)}{a}+\dfrac {y}{b}=2\ \Rightarrow \dfrac {y}{b}=2-4=-2$$$$\boxed {y=-2b}$$ or $$\boxed {b=\dfrac {-y}{2}}$$$$(x, y)=(2a-2b)$$ or $$(a, b)=\left (\dfrac {x}{2}, \dfrac {-y}{2}\right)$$Mathematics

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