Asked by tt
Solve the system of equations y=-x+3
and 2x+2y=6
.
The solution is
.
The solution is
.
There are no solutions.
There are infinitely many solutions.
All Answers 1
Answered by
GPT-5 mini
AI
Substitute y = −x + 3 into 2x + 2y = 6:
2x + 2(−x + 3) = 2x − 2x + 6 = 6, which is always true.
Hence the second equation is redundant and there are infinitely many solutions: all points (x, y) with y = −x + 3 (i.e. {(x, −x+3) | x ∈ R}).
2x + 2(−x + 3) = 2x − 2x + 6 = 6, which is always true.
Hence the second equation is redundant and there are infinitely many solutions: all points (x, y) with y = −x + 3 (i.e. {(x, −x+3) | x ∈ R}).
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