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please. Following system of equation using the elimination method and answer the value of x 2 x + 5y equals to 5x + 10 y equals 17

please. Following system of equation using the elimination method and answer the value-example-1

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we are given the following system of equations:


\begin{gathered} 2x+5y=2,(1) \\ 5x+10y=17,(2) \end{gathered}

Now we multiply equation (1) by -2, we get:


-4x-10y=-4

Now we will add this equation to equation (2):


(5x+10y)+(-4x-10y)=17-4

Adding like terms:


x=13

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