exam Maths Puzzle Numerical Ability

Find an equation for the family of lines that pass through the intersection of 5x-3y+11=0 and 2x-9y+7=0.

This is what I tried (2)5x-(2)3y+11=0
(3)2x-(3)9y+

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exam Other Question

If 3x+y=90 and 10<=x<=25 what is the least possible value of y?

And alss slove for d
d=3x/y*y+1/x
Find B so that -6x +By = 3 is perpendicular to 2x-3y=8.

I took simplified y=-2/3x - 8/3 and y=6x + 3/B.
any number for B must be positive in order for the lines to be perpendicular.

is this correct?