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

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 you
Found 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(16946) (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
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