1.

Find m if 2x+3y =11 and 2x-3y=-1 has a unique solution for which y=mx+4 is true

Answer»

2x+3y=11

2x-3y=-1

4x = 10

so,X=5/2 subs in SECOND one

2.5/2-3y=-1

5-1=3y

4=3y

y=4/3

then sub x and y in TANGENT line.

4/3=m(5/2)+4

4/3-4=5m/2

-8/3=5m/2

5m=-16/3

m=-16/15


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