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)
|
|
|
