Question

Solve the equation - (Not using graphical method )
$4x - 5y + 16 = 0 \\ 2x + y - 6 = 0$
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Answer 1

Step-by-step explanation:

4x-5y+16= 0

=> 4x-5y= -16 ------(I)

2x+y-6= 0

=> 2x+y= 6-------(II)

Comparing the two equation by some changes we have:

4x-5y+22=2x+y

=> 4x-2x+22= y+5y

=> 2x-6y= -22-----(iii)

Subtracting equation (III) from equation (ii) we get:

2x+y-2x+6y= 6+22

=> 8y= 24

=> y= 3

Putting value of Y in equation (ii) we get:

2x+3= 6

=> X= 3/2