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I understand the equation to be x = y, and the point to be (-1, -1).
Indeed, the x- and y-co-ordinates of the point are equal, as demanded by the equation. Therefore, the point is a solution to the equation.
y=2x-4 y=2x-5 y=1 1=2x-4 -2x = -5 x=2/5 the solution is (x,y) = (2/5,1)
-4y=x is the equation of a line and has infinite solutions. Each solution is an ordered pair. We usually write this as (x,y). It is called an ordered pair because we cannot exchange the x and y in general. So (x,y) does not generally equal (y,x).Now in this case, pick any value for x, say 0, and y is 0. The solution (0,0) is one ordered pair.Now, take x=1 and y=-1/4. So (1, -1/4) is another solution.
y=x+4
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If those are two different equations, such that 2y=5x-1 and x=y+2, then you subsitute y+2 in for x in the first equation, and when you solve the whole thing, you get that x=-1 and y=-3, or the point (-1,-3)