Solve for $x$ and $y$ , $7 x - 9 y - 19 = 0; 4 x + 5 y - 21 = 0$ .

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Solution

7x-9y-19=0 (1)
4x+5y-21=0 (2)
multiplying equation (1) by (5) & (2) by 9 we get
$\Rightarrow$ 35x-45y-95=0
36x+45y-189=0
_________
71x-284=0
x=284/71=4
[x=4] and 9y=7x-19=28-19=9
[y=1]
$∴$ value of [x=4] & [y=1]

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