If equations of form 3x+y=5 are linear equations, shouldn't equations

Cormac Gilbert

Cormac Gilbert

Answered question

2022-02-24

If equations of form 3x+y=5 are linear equations, shouldn't equations of form 3x-5=0 be considered "point equations"?

Answer & Explanation

Ayda Cannon

Ayda Cannon

Beginner2022-02-25Added 3 answers

If you graph 3x-5=0 on the xy-plane, you get the line that contains the points (53,) - y can be any value. It is a vertical line.
If you graph 3x-5=0 on the x-line (so the number line with x as a variable), then it just forms the single point (53).

Josef Beil

Josef Beil

Beginner2022-02-26Added 12 answers

In general, a linear equation is of the form
c1x1+c2x2++cnxn=b,
where ci0 for all i and b is a constant. The solution is a (n-1)-dimensional hyperplane in n-dimensional space.

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