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Someone please help me with this.

Someone please help me with this.-example-1
User Jeff Rush
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1 Answer

4 votes

Answer:

The solution is (-2,-11)

Explanation:

The given system is ;


(1+y)/(2y) -(3x+1)/(y) =0, y\\e0

Multiply through by 2y.


1+y-2(3x+1)=0

Expand;


1+y-6x-2=0


y-6x=1


y=6x+1...(1)

Also we have;


(2y+8)/(12x+10)+(4x)/(y+7)=3...(2)

Put equation (1) into (2)


(2(6x+1)+8)/(12x+10)+(4x)/(6x+1+7)=3


(12x+2+8)/(12x+10)+(4x)/(6x+1+7)=3


(12x+10)/(12x+10)+(4x)/(6x+8)=3


(12x+10)/(12x+10)+(4x)/(6x+8)=3 for
x\\e -(5)/(6),x\\e -(4)/(3)


1+(4x)/(6x+8)=3


(4x)/(6x+8)=3-1


(4x)/(6x+8)=2

Cross multiply;


4x=2(6x+8)


4x=12x+16


4x-12x=16


-8x=16

Divide through by -8.

x=-2

Put x=-2 into equation (1).

y=6(-2)+1

y=-11

The solution is (-2,-11)

User Deepend
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6.7k points