Question

Translate this word problem as a system of equations and then solve using substitution Find two numbers whose sum is 58 and whose difference is 16. @InstagramDoll

Answer 1

Let one number be x. Let the other number be y.
The sum of the two numbers is x + y, and we know it equals 58, so we have
x + y = 58
The difference of the two numbers is x - y, and we are told it's 16, so we have
x - y = 16

The system of equations is
x + y = 58
x - y = 16

Are you familiar with the substitution method of solving a system of equations?

Answer 2

wht is the answer

Answer 3

Solve the first equaqtion for x, and substitute into the second equation.
x = 58 - y
58 - y - y = 16
-2y = -42
y = 21
Now substitute y = 21 intot he firs equation:
x + 21 = 58
x = 37
Answer: x = 37, y = 21