SOLUTION: solve each of the following sysytems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y =1 and 5x + 3y =16

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 Question 91418: solve each of the following sysytems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y =1 and 5x + 3y =16Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!2x + 3y = 1 5x + 3y = 16 : Multiply the 1st equation by -1 and add: -2x - 3y = -1 +5x + 3y = 16 -------------- adding eliminates y, solve for x 3x = 15 x = 15/3 x = 5 : Find y using 2x + 3y = 1, substitute 5 for x: 2(5) + 3y = 1 10 + 3y = 1 3y = 1 - 10 3y = -9 y = -9/3 y = -3 : : Check solutions in 5x + 3y = 16, substitute for x and y: 5(5) + 3(-3) = 25 - 9 = 16