5x+2y=-11, 7x-3y=13, find x and y
Eq1: 5x + 2y = - 11.
Eq2: 7x - 3y = 13.
Multiply Eq1 by 3 and Eq2 by 2:
15x + 6y = -33,
14x - 6y = 26,
Add the 2 Eqs:
29x = -7,
x = -7 / 29.
Substitute -7/29 for x in Eq1:
5(-7/29) + 2y = - 11,
-35/29 + 2y = - 11,
2y = 35/29 - 11,
Common denominator = 29:
2y = 35/29 - 319/29,
2y = -284/29,
y = -284/58 = -142/29.