That would be a linear equation. Because there are 2 variables you can't solve it for a number, but if by some chance this is the answer you wanted, then it's a line passing through (0,5) and (1,4) with a slope of -1.
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y equals x plus 5 is the equation of a straight line in the x-y plane.
y=5-x
x=5 y=-3
x = 11 y = 16
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.