Question #71e99
3 Answers
22 & 15
Explanation:
x + y = 37
x - y = 7
--------------------- Adding the two equations:
2x = 44
x = 44/2
x = 22 The first number is 22.
22 - y = 7 Since x - y = 7
y = 15 The second number is 15.
Explanation:
Let the two numbers be
Hence,
Add these two equations.
Replace A in the first equation
Check the answers
Sum:
Difference:
Explanation:
"let the two numbers be x and y with "x>ylet the two numbers be x and y with x>y
x+y=37to(1)x+y=37→(1)
x-y=7to(2)x−y=7→(2)
"add the two equations term by term to eliminate y"add the two equations term by term to eliminate y
(x+x)+(y-y)=37+7(x+x)+(y−y)=37+7
rArr2x=44⇒2x=44
"divide both sides by 2"divide both sides by 2
(cancel(2) x)/cancel(2)=44/2
rArrx=22
"substitute this value into either of the two equations"
"(1) "to22+y=37rArry=37-22=15
"note "22+15=37" and "22-15=7