Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
No. They can only be exactly 180 degrees. By definition, a linear pair is a pair of two adjacent supplementary angles, so together they must form exactly 180 degrees.
Yes.
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
no, not exactly.
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
No. They can only be exactly 180 degrees. By definition, a linear pair is a pair of two adjacent supplementary angles, so together they must form exactly 180 degrees.
A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.
One option is "cannot exist". The equation is linear and linear equations do not have vertices.
It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
Yes.
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)
If x = y, then the equation is true for any integer pair. Otherwise, the equation is not equivalent and is impossible.