Solve for x and y:
35x-21y=10 and 5x-3y=2
To solve this system of equations, we will use the method of substitution or elimination.
First, we will solve for x in terms of y from the second equation:
5x - 3y = 2
5x = 3y + 2
x = (3y + 2) / 5
Now, substitute this expression for x into the first equation:
35((3y + 2) / 5) - 21y = 10
Simplify:
21y + 14 - 21y = 10
14 = 10
Since 14 does not equal 10, there is no solution to this system of equations. They are inconsistent and do not intersect.