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Question

9x+3y+12=018x+6y+24=0


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Solution

Step 1: Compare both given equations 9x+3y+12=018x+6y+24=0with the general form of pair of linear equations a1x+b1y+c1=0a2x+b2y+c2=0in two variables

On comparing,

a1=9,b1=3,c1=12a2=18,b2=6,c2=24

Step 2: Compare the ratios of a1a2,b1b2,andc1c2

a1a2=918=12

b1b2=36=12

c1c2=1224=12

On Comparing,

a1a2=b1b2=c1c2=12 ( If a1a2=b1b2=c1c2 then the pair of equation has Infinitelymanysolution)

Hence, the given equation 9x+3y+12=018x+6y+24=0 has Infinitelymanysolution


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