Infinitely many.
Infinitely many. The solution space is part of a plane.
2
A linear equation in n variables, x1, x2, ..., xn is an equation of the forma1x1 + a2x2 + ... + anxn = y where the ai are constants.A system of linear equations is a set of m linear equations in n unknown variables. There need not be any relationship between m and n. The system may have none, one or many solutions.
There is no equation (or inequality) in the question and so there cannot be any solutions.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
Infinite.
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
Infinitely many. The solution space is part of a plane.
1
Inequalities tend to have infinitely many solutions.
None, one or infinitely many.
The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.
2
There are infinitely many solutions. One linear equation in two variables cannot be solved to give a single answer.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.