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  • Solve the following pair of linear equations: (ii) x / a - y / b = 0 ax + by = a^2 plus b^2

Q7.    Solve the following pair of linear equations:

                (iii)    \\\frac{x}{a} - \frac{y}{b} = 0\\ ax + by = a^2 +b^2

Answers (1)

best_answer

Given equation,

\\\frac{x}{a} - \frac{y}{b} = 0\\\Rightarrow bx-ay=0...........(1)\\ ax + by = a^2 +b^2...............(2)

Now By Cross multiplication method,

\frac{x}{b_1c_2-b_2c_1}=\frac{y}{c_1a_2-c_2a_1}=\frac{1}{a_1b_2-a_2b_1}

\frac{x}{(-a)(-a^2-b^2)-(b)(0)}=\frac{y}{(0)(a)-(b)(-a^2-b^2)}=\frac{1}{(b)(b)-(-a)(a)}

\frac{x}{a(a^2+b^2)}=\frac{y}{b(a^2+b^2)}=\frac{1}{a^2+b^2}

x=a,\:and\:y=b

Posted by

Pankaj Sanodiya

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