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Question

Solve for xandy

16x+3+3y-2=5;8x+3-1y-2=0


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Solution

Step 1 : Giving substitution

Given,

16x+3+3y-2=5........................................(1)8x+3-1y-2=0...........................................(2)

let1x+3=A&1y-2=B116A+3B=5.........................................(3)28A-B=0.................................................(4)

Step 2 : To find A & B using elimination method

(4)x(3)24A-3B=0........................................(5)(3)16A+3B=5...............................................(3)(5)+(3)40A=5A=540=18SubstituteA=18in(4)(4)8x18-B=01-B=0B=1

Step 3: To find x and y

We have

WehaveA=1x+318=1X+3x+3=8x=5B=1y-21=1y-2y-2=1y=1+2=3

Therefore the values of x=5andy=3


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