Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is ![\frac{x}{y} =\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3D%5Cfrac%7B5%7D%7B3%7D)
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.