76.9k views
3 votes
X:y=5:3 and x+y=56 work ouy the value of x and y​

User Hetzbh
by
5.0k points

1 Answer

4 votes

Answer:

x=35, y=21

Explanation:

A way to rewrite the first equation is
(x)/(y) =(5)/(3)

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.

User Annazette
by
5.9k points