Best answer:
That's a tautology, a statement that is always true.
If you are solving simultaneous equations and you get to something like this, it means there are infinitely many solutions to the system of equations.
Here's a basic example:
y = x + 1
2y = 2x + 2
Substitute in for y, in the second equation:
2(x + 1) =...
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Best answer: That's a tautology, a statement that is always true.
If you are solving simultaneous equations and you get to something like this, it means there are infinitely many solutions to the system of equations.
Here's a basic example:
y = x + 1
2y = 2x + 2
Substitute in for y, in the second equation:
2(x + 1) = 2x + 2
Divide both sides by 2:
x + 1 = x + 1
Subtract x + 1 from both sides:
0 = 0
Since you've gotten to a statement that is always true, that means that you have infinitely many values of (x,y) that will solve that system of equations. Graphically, the two equations represent the same line where every point of the first line is also a point on the second line.
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