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ycow [4]
3 years ago
9

Solve the system by the elimination method. 7x+5x=-25 5x+3y=-23

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

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

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