Question

which is true about finding the solution to the system2x + 4y = 10x + 2y = 5A you can set 2x + 4y = x + 2y and solveB there is no solution to this systemC the answer is all real number because these are the same linear graph D the correct solution is (5, 10)

Answer 1

Notice that if we multiply by 2 both sides of the second equation we get the following:

$\begin{gathered} 2\cdot(x+2y=5) \\ \Rightarrow2x+4y=10 \end{gathered}$

which is the same as the first equation, therefore, the answer is all real numbers