Answer:
Answer: x = 32, y = 25
Step-by-step explanation:
You can write 2 equations that meet the criteria:
The sum of two numbers is 57
x + y = 57
The difference is 7
x - y = 7
Solve the second equation for x, and substitute in the first equation to solve for y
- solve the second equation for x.
Add y to both sides of the equation
x - y + y = 7 + y
x = 7 + y
- substitute x = 7 + y into the first equation
x + y = 57
(7 + y) + y = 57
7 + 2y = 57
Subtract 7 from both sides of the equation
7 - 7 + 2y = 57 - 7
2y = 50
Divide both sides of the equation by 2 to solve for y
y=25
Insert y = 25 into either equation and solve for x
x - y = 7
x - 25 = 7
Add 25 to both sides of the equation
x - 25 + 25 = 7 + 25
x = 32
Answer: x = 32, y = 25
As a check, plug these values into both equations to make sure that it works
