the sum of two numbers is 52. their difference is 9. write and solve system of equations to find the 2 numbers
1 answer:
Hey there :)
Let us first translate words into mathematics!
Sum of 2 numbers is 52
x + y = 52
Difference of 2 numbers is 9
x - y = 9
(eq.1) x + y = 52
(eq.2) x - y = 9
Add both equations : x + y = 52
+ x - y = 9
2x = 61
x = 30.5
We now have the value of x, substitute into eithe formulae to find y
x - y = 9 , 30.5 - y = 9 , 30.5 - 9 = y , 21.5 = y
x + y = 52 , 30.5 + y = 52 , 52 - 30.5 = y , 21.5 = y
x = 30.5
y = 21.5
Let us first translate words into mathematics!
Sum of 2 numbers is 52
x + y = 52
Difference of 2 numbers is 9
x - y = 9
(eq.1) x + y = 52
(eq.2) x - y = 9
Add both equations : x + y = 52
+ x - y = 9
2x = 61
x = 30.5
We now have the value of x, substitute into eithe formulae to find y
x - y = 9 , 30.5 - y = 9 , 30.5 - 9 = y , 21.5 = y
x + y = 52 , 30.5 + y = 52 , 52 - 30.5 = y , 21.5 = y
x = 30.5
y = 21.5
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Answer:
B. 5
Step-by-step explanation:
We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.
We know that two directly proportional quantities are in form , where,
k = Constant of variation.
Upon substituting our given values, we will get:
Therefore, the constant of variation is 5 and option B is the correct choice.