Linear Equations in Mathematics

$a_{1}x_{1}+ ... +a_{n}x_{n}+b=0$ (correct)

$a_{1}x_{1}+ ... +a_{n}x_{n}=b$

$a_{1}x_{1}+ ... +a_{n}x_{n}+b=1$

$a_{1}x_{1}+ ... +a_{n}x_{n}=0$

Values that make the equality false when substituted for the unknowns

Values that don't affect the equation

Values that make the equality true when substituted for the unknowns (correct)

Values that are not allowed in the equation

As values that cannot be graphed

As solutions in three-dimensional space

As points on a line in the Euclidean plane

As Cartesian coordinates of a point in the Euclidean plane (correct)

<p>Exactly one solution (if $a_{1} \neq 0$)</p> Signup and view all the answers

<p>A line in the Euclidean plane</p> Signup and view all the answers