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Every system has the same equation: 4x - 5y = 2
We need to look at the second equation of the 4 systems and compare them.
4x − 5y = 2 3x − y = 8 4x − 5y = 2 10x − 7y = 18 4x − 5y = 2 3x − 8y = 4 4x − 5y = 2 10x + 3y = 15
Look at choice A. Choice A tells you that the second equation of the second system is 2 times the second equation of the first system added to the first equation of the first system. If this is true, the equations are the same equation and the solutions will be the same. All you need to do is see if this is true. Multiply the second eq. of system 1 by 2. Then add it to the first eq. of system 1. What do you get?
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