solve the system by the elimination method. 7x+5x=-255x+3y=-23

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