# Consider the following system with the solution (1,3)

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## Question:

Consider the following system with the solution (1,3)

Equation 1 of the system : 2x+y=5
Equation 2 of the system: x -2y =-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
Posible answers : used multiplication property of equality to write a new equation
Used addition property of equality to write a new equation added equations 1 and 3 The equation 2x – 4y = -10 is a multiple of equation 2 because of the multiplication property of equality to write a new equation.

### What is a equation?

An equation simply means a statement of two mathematical expressions that are equal.

In this case, equation 2x – 4y = -10 us a multiple of equation 2 because of the multiplication property of equality to write a new equation.