Question

4x-3y-6=0 and x+3y=9

Answer 1

4x-3y=6

x+3y=9

5x= 15
x=3

&
3y= (9-3)
y=2

$\huge {\red{ x=3 &y=2}}$

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Answer 2

Simply add both the equations:
4x-3y=6 eq. 1
+ x+3y=9 eq. 2
= 5x=15

Therefore x=3

substituting val. of x in eq. 2 we get,
(3)+3y=9
3y=6

y=2