The table below shows four systems of equations: system 1 system 2 system 3 system 4 4x − 5y = 2 3x − y = 8 4x − 5y = 2 10x − 7y = 18 4x − 5y = 2 3x − 8y = 4 4x − 5y = 2 10x + 3y = 15 which pair of systems will have the same solution?

Step-by-step explanation:

The first and second system have the same solutions, the are equivalent systems of equations. Let's calculate solutions to demonstrate it:

If we multiply the second equations by -5, we can eliminate one variable and find the first solution:

Now, we use this value to find the other solution:

The solution of the first system is

We do the same process than we did before, but this time we have to multiply by :

Then,

The solution of the second system is  

Therefore, system 1 and system 2 are equivalent.

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