Question 289942
4x - 3y = 10
2x - 3y = 2

Subtract the second statement from the first:

2x = 8
{{{highlight(x = 4)}}}

Substitute for x back into either statment (I choose the first):

4(4) - 3y = 10
16 - 3y = 10
-3y = -6
{{{highlight(y = 2)}}}

Prove: (substitute back into both equations:
4(4) - (3)(2) = 10
16 - 6 = 10
10 = 10.  OK

2(4) - 3(2) = 2
8 - 6 = 2.  OK.