Question

What is the value of x+y?

Eight grade math

Answer 1

Hello! The value of x+y is 12

Make sure to read an explanation so you can understand the solution better.

Any questions about the answer and explanation can be asked through comments.

Explanation:

We can simply solve the system of equations by substituting x = 3y in the first equation

`\large{2x + 2y = 24} \\ \large{2(3y) + 2y = 24} \\ \large{6y + 2y = 24} \\ \large{8y = 24} \\ \large{y = 3}`

Therefore, the value of y is 3. Then we substitute the value of y in x = 3y.

`\large{x = 3y} \\ \large{x = 3(3)} \\ \large{x = 9}`

Therefore, the value of x is 9.

Since you want to find x+y, simply add 9 and 3 as we get 12.

Therefore x+y = 12.