SOLUTION: The sum of Linda's and Steve's ages is 113.Steve is 11 years older than Linda. How old is Linda and how old is Steve?

Question 343340: The sum of Linda's and Steve's ages is 113.Steve is 11 years older than Linda.
How old is Linda and how old is Steve?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
x+y=113_y=x+11
Since y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting y from both sides.
x=-y+113_y=x+11
Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is -y+113.
x=-y+113_y=(-y+113)+11
Remove the parentheses around the expression -y+113.
x=-y+113_y=-y+113+11
Add 11 to 113 to get 124.
x=-y+113_y=-y+124
Since -y contains the variable to solve for, move it to the left-hand side of the equation by adding y to both sides.
x=-y+113_y+y=124
Since y and y are like terms, add y to y to get 2y.
x=-y+113_2y=124
Divide each term in the equation by 2.
x=-y+113_(2y)/(2)=(124)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=-y+113_y=(124)/(2)
Simplify the right-hand side of the equation by simplifying each term.
x=-y+113_y=62
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 62.
x=-(62)+113_y=62
Multiply -1 by the 62 inside the parentheses.
x=-62+113_y=62
Add 113 to -62 to get 51.
x=51_y=62
This is the solution to the system of equations.
x=51 (Linda)_y=62 (steve)
RELATED QUESTIONS
the sum of linda and steve's age is 113 steve is 11 years older than linda how old is... (answered by ptaylor)

The sum of linda's and steve's ages is 113. Steve is 11 years older than linda. How old... (answered by mananth)

Steve is 18 years older than linda. In 8 years, he wil he twice as old as linda. How old... (answered by TimothyLamb)

Steve is x years old. His sister is 3 years younger than Steve and his father is 4 times (answered by ikleyn,josgarithmetic)

Solve the given problem. Henry is four years older than half Linda�s age. If Linda is... (answered by Cromlix)

the sum of the ages of ryan and linda is 113. 9 years ago, ryans age was 4 times lindas... (answered by Boreal,TeachMath,ikleyn,greenestamps)

Steve is half as old as Stacey. The sum of their ages five years ago was 8. How old are... (answered by nyc_function)

The sum of the ages of Steve, John, and Emily is 42. Steve and John are twins and are 3... (answered by ikleyn)

Steve is 3 times older than Kevin. The sum of their age is 52. How old is Steve (answered by jorel555,addingup)