Question 791967
 x + 2y = 7
4x - 3y = -5
multiply x + 2y = 7 by 4 to get 4x + 8y = 28
subtract the second equation from this new equation
4x + 8y = 28
4x - 3y = -5
11y = 33
11y/11 = 33/11
y = 3

first equation with value for y
x + 2(3) = 7
x + 6 = 7 
x + 6 - 6 = 7 - 6
x = 1

check:
1 + 2(3) = 7
1 + 6 = 7
7 = 7

4(1) - 3(3) = -5
4 - 9 = -5
-5 = -5