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Solve the following system of equations. How many solutions are there? x + y = 2 5x + 5y = 10 a) There is no solution. b) There are infinite solutions. c) There is one solution.

User Dodrg
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we are given the following system of equations:


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

Equation (2) can be rewritten dividing by 5 on both sides as:


(5x)/(5)+(5y)/(5)=(10)/(5)

Solving the operations:


x+y=2,\text{ (2)}

Since equation (2) is the same equation as equation(1), this means that the system has infinite solutions.

User ErnieStings
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