The difference of two numbers is 3. their sum is 13. find the numbers. creater the system and solve
1 answer:
Hey there :)
Let us translate the words into mathematics!
The difference of 2 numbers is 3
x - y = 3
The sum of 2 numbers is 13
x + y = 13
(eq. 1) x - y = 3
(eq.2) x + y = 13
eq. 1 + eq.2 ⇒ x - y = 3
+ x + y = 13 ( -y and +y cancels out )
2x = 16
x = 8
We have the value of x, simply substitute it in either of the formulae to find y
x - y = 3 , 8 - y = 3 , 8 - 3 = y , 5 = y
x + y = 13 , 13 - 8 = y , 5 = y
x = 8 , y = 5
Let us translate the words into mathematics!
The difference of 2 numbers is 3
x - y = 3
The sum of 2 numbers is 13
x + y = 13
(eq. 1) x - y = 3
(eq.2) x + y = 13
eq. 1 + eq.2 ⇒ x - y = 3
+ x + y = 13 ( -y and +y cancels out )
2x = 16
x = 8
We have the value of x, simply substitute it in either of the formulae to find y
x - y = 3 , 8 - y = 3 , 8 - 3 = y , 5 = y
x + y = 13 , 13 - 8 = y , 5 = y
x = 8 , y = 5
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