AIR MATH

Math Question

Consider the following system with the solution \( (1,3) \).
Equation 1 of the system: \( 2 x+y=5 \)
Equation 2 of the system: \( x-2 y=-5 \)
Prove that replacing the first equation with the sum of that equation and a multiple of the other produces a system with the same solution.

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