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if x=2-a and y=b-1 solution of 5x + 3y-7=0 x=2b+1 and y=b-1 solution of 3x-2y+6=0 then find the value of a+b​

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If x=2k+1 and y=k is a solution of the equation 5x+3y−7=0, find the value of k.

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Given x=2k+1 and y=k is the solution of equation 5x+3y-7=0

5x+3y−7=0

Put the value of x=2k+1 and y=k we get

5(2k+1)+3(k)−7=0

⇒10k+5+3k−7=0

⇒13k−2=0

⇒13k=2

⇒k=

13

2