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Mathematics

Answered

Solve the following system of equations using Substitution, showing all work.

2x+y=9
3x−2y=17

Answer :

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Answer:

(x,y)=(5,-1)

Step-by-step explanation:

1. 2x+y=9 ---> y=9-2x

2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.

3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1

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