Final answer:
There is no solution for the given system of equations.
Step-by-step explanation:
To solve this system of equations:
5x - 4y = 4 ......(1)
-10x + 8y = 12 ......(2)
We can use the method of substitution to find the values of x and y.
From equation (1), we can rearrange it to express x in terms of y:
5x = 4 + 4y
x = (4 + 4y)/5
Substitute this expression for x in equation (2):
-10((4 + 4y)/5) + 8y = 12
Simplify the equation:
-8 - 8y + 8y = 12
-8 = 12
This equation is not true, which means there is no solution for this system of equations.