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Complete the following activity to solve...

Complete the following activity to solve the simultaneous equations `3x+2y=29` and `10x-2y=36`.
Adding the given equations,
`{:(3x+2y=29" ...(1)"),(10x-2y=36" ...(2)"),(bar(""13x" = "square)therefore = square):}`
Substituting the value of `x` in equation `(1)`,
`15+2y=29 " " therefore 2y= square " " therefore y = square`
`therefore (x,y)=(---,---)` is the solution.

Text Solution

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Adding the given equations.
`{:(3x+2y=29" ...(1)"),(10x-2y=36" ...(2)"),(bar(""13x" = "ul(" 65 "))" "therefore x = ul(" 5 ")):}`
Substituting the value of `x` in equation `(1)`,
`15+2y=29 " " therefore 2y = ul(" 14 ") " " therefore y = ul(" 7 ")`
`:.(x,y)=(5,7)` is the solution.
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