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If for x = -1 we find the same value of y in both equations, then x = -1 will be a part of the solution of the system.

Let's suppose that x = -1 is the x-coordinate of the solution of the given system

x + y = 4

x - y = 6.

x + y = 4

-1 + y = 4

-1 + 1 + y = 4 + 1

y = 5

x - y = 6

-1 - y = 6

-1 - 6 + y - y = 6 - 6 + y

-7 = y

Since we have two different values for y, we say that x = -1 is not a part of the solution for the given system.

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15y ago
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Q: Is x equals -1 is a solution of x plus y equals 4 x-y equals 6?
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