Solve the system by the elimination method. 7x+5x=-25

5x+3y=-23

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