Question

solve by using cross multiplication method ...
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Answer 1

Answer:

Answer:

The solution of system of equation x=ab and y=ab

Step-by-step explanation:

Given: System of equation

\frac{b}{a}x+\frac{a}{b}y=a^2+b^2abx+bay=a2+b2 ---------(1)

x+y=2abx+y=2ab -----------(2)

Using elimination method to solve for x and y

Multiply second equation by -b/a to eliminate x

-\frac{b}{a}x-\frac{b}{a}y=-\frac{b}{a}\cdot 2ab−abx−aby=−ab⋅2ab

\frac{b}{a}x+\frac{a}{b}y=a^2+b^2abx+bay=a2+b2

Add both equation to eliminate x

\frac{a}{b}y-\frac{b}{a}y=a^2+b^2-\frac{b}{a}\cdot 2abbay−aby=a2+b2−ab⋅2ab

y(\dfrac{a^2-b^2}{ab})=a^2-b^2y(aba2−b2)=a2−b2

y=aby=ab

Substitute y=ab into equation (2)

x+ab=2abx+ab=2ab

x=abx=ab

Hence, The solution of system of equation x=ab and y=ab

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