SOLUTION: the question on my review is asking me i am thinking of two numbers whose sum is 21 and whose difference is 5. let x be the first number and y be the second number. and solve for x

Question 616816: the question on my review is asking me i am thinking of two numbers whose sum is 21 and whose difference is 5. let x be the first number and y be the second number. and solve for x and y how would i go about solving the question? and thank you for helping
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two numbers whose sum is 21 and whose difference is 5. let x be the first number and y be the second number. and solve for x and y how would i go about solving the question?
.
Let x = one number
and y = second number
then from "two numbers whose sum is 21" we have
x+y = 21 (equation 1)
.
from: "and whose difference is 5"
x-y = 5 (equation 2)
.
Using the "addition method" combine both equations:
x+y = 21
x-y = 5
--------
2x = 26
x = 13
.
Second number, substitute above into:
x+y = 21
13+y = 21
y = 21-13
y = 8
.
Answer: 8 and 13

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