Answer:
x = -10; y = 9
Step-by-step explanation:
(1) 7x + 5y = -25
(2) 5x + 3y = -23 Multiply (1) by 3
(3) 21x + 15y = -75 Multiply (2) by 5
(4) 25x + 15y = -115 Subtract (3) from (4)
4x = -40 Divide each side by 4
(5) x = -10 Substitute (5) into (2)
5(-10) + 3y = -23
-50 + 3y = -23 Add 50 to each side
3y = 27 Divide each side by 3
y = 9
x = -10; y = 9
Check:
(1) 7(-10) + 5×9 = -25
-70 + 45 = -25
-25 = -25
(2) 5(-10) + 3×9 = -23
50 + 27 = -23
-23 = -23
