12-4 Daily work Solving Systems of Equations by different method

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations by graphing?

Back

To solve by graphing means to plot each equation on a graph and identify the point(s) where they intersect, which represents the solution.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What does it mean if two equations represent the same line?

Back

If two equations represent the same line, they have infinitely many solutions, as every point on the line is a solution.

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the lines represented by the equations are parallel and never intersect.

Front

Back

The solution is (0, 5).

Front

Back

The solution is (-6, 7).

Front

Back

The solution is (2, 2).

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.