Problem

3x+2y=182x+9y=12

Answer

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Answer

x=6,y=0

Steps

Step 1 :Multiply the first equation by 2 and the second equation by 3: {6x+4y=366x+27y=36

Step 2 :Subtract the second equation from the first equation to eliminate x: 23y=0

Step 3 :Solve for y: y=0

Step 4 :Substitute the value of y back into one of the original equations to find the value of x: 3x+2(0)=18

Step 5 :Solve for x: x=6

Step 6 :x=6,y=0

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