Question

What is the solution to the system of equations y=5x+2 3x=-y+10

Answer 1

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Answer 2

Answer: (1,7)

Explanation:

The given system of linear equations :-

`y=5x+2...................(1)\\\\3x=-y+10..................(2)`

Substituting the value of y from (1) in equation (2), we get

`3x=-(5x+2)+10\\\\\Rightarrow 3x=-5x-2+10\\\\\Rightarrow\ 8x=8\\\\\Rightarrow\ x=1`

Substituting the value of x in (1), we get

`y=5(1)+2=7`

Hence, the solution to the given system of equations : (x,y)=(1,7)