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Q: What is a system of equations that has at least one solution?

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A system of linear equations that has at least one solution is called consistent.

A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.

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.

A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.

Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.

The graphs of the two equations have only one intersection point.

simultaneous equations

An independent system has one solution.

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.

They will be a set of lines meeting at one point - the solution.

Linear system

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