how can i solve this problem?

find value of x and y
x + y = 6
4xy = 35

It depends what level you are at with your maths.

A graphical solution is to plot the two and see where the straight line x + y = 6 cuts
4xy = 35

Alternatively substitute

y=6-x

4(x)(6-x)=35

24x-4x^2=35

24x-4x^2-35=0

-4x^2+24x-35=0

and solve for x