# SOLUTION: hi well in class we are covering systems of linear equations in word problems and i need help "the difference of two numbers is 16.the greater number is 5 less than 4 tiimes the

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 Click here to see ALL problems on Linear-systems Question 391303: hi well in class we are covering systems of linear equations in word problems and i need help "the difference of two numbers is 16.the greater number is 5 less than 4 tiimes the smaller number.find the numbers" thank youFound 2 solutions by haileytucki, mananth:Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!x-y=16_x=4y-5 Since -y does not contain the variable to solve for, move it to the right-hand side of the equation by adding y to both sides. x=y+16_x=4y-5 Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is y+16. x=y+16_(y+16)=4y-5 Remove the parentheses around the expression y+16. x=y+16_y+16=4y-5 Since 4y contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4y from both sides. x=y+16_y+16-4y=-5 Since y and -4y are like terms, add -4y to y to get -3y. x=y+16_-3y+16=-5 Since 16 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 16 from both sides. x=y+16_-3y=-16-5 Subtract 5 from -16 to get -21. x=y+16_-3y=-21 Divide each term in the equation by -3. x=y+16_-(3y)/(-3)=-(21)/(-3) Simplify the left-hand side of the equation by canceling the common factors. x=y+16_y=-(21)/(-3) Simplify the right-hand side of the equation by simplifying each term. x=y+16_y=7 Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 7. x=(7)+16_y=7 Remove the parentheses around the expression 7. x=7+16_y=7 Add 16 to 7 to get 23. x=23_y=7 This is the solution to the system of equations. x=23_y=7 Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!"the difference of two numbers is 16.the greater number is 5 less than 4 tiimes the smaller number.find the numbers" ... let the greater number be x smaller number be y x-y=16......................1 4 times the smaller = 4y 5 less than 4y 4y-5 ... x=4y-5......................2 ... plug the value ofg x in (1) 4y-5-y=16 add 5 to both sides 3y=16+5 3y=21 /3 x-y =16 plug value of y x-7=16 x=16+7 ... m.ananth@hotmail.ca