It is the set of infinitely many ordered pairs, (x, y) such that the two satisfy the given equation.
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There is one solution for x and one solution for y. The solution is: x = -1 ; y = 2
So substitute for y : x + 4x = 5 so 5x = 5, so x=1, y=4
Yes. This is a logical deduction based on substitution. if x + y = 7 and y = 5 then the value of 5 can be substituted for y to get x + 5 = 7 which can then be solved to get x = 2, meaning the point (2, 5) is a solution to the line x + y = 7 as it is on that line.
Given: x + y = 5 2x + y = 6 We can subtract the second equation from the first to get: -x = -1 x = 1. From there, substituting back in to the first equation yields: 1 + y = 5 y = 4. The solution is (1, 4).
x=1, y=5 is a legitimate answer.