Henry and karyn are brother and sister. one-half of henry’s age plus twice karyn’s age equals 11. four times henry’s age minus karyn’s age equals 3. let x represent henry’s age and y represent karyn’s age. the system that can be used to find their ages is below. x + 2y = 11 4x – y = 3 find the solution to the system. what is karyn’s age?

4 years 6 months and 20 days is the age of Karyn.

Step-by-step explanation:

Let age of Henry is x years and age of Karyn be y years.

Now as per statement of the question

x + 2y = 11 (1)

and 4x - y = 3 (2)

We have to solve the equations to get the value of y or age of Karyn.

We will multiply equation 1 by 4

4x + 8y = 44(3)

Now we will subtract equation 2 from 3

(4x + 8y)-(4x - y) = 44 - 3

4x + 8y - 4x + y =41

9y = 41

y = 41/9 years ≅ 4 years and 60/9 months ≅ 4 years 6 months 20 days.

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus