Systems of Equations with Elimination

Front

A system of linear equations can have one solution, no solution, or infinite solutions.

Back

True

Front

What type of graph results in 'no solution' to a system of equations?

Back

Parallel Lines

Front

Determine if (4, 1) is a solution for the system of equations: y = -x + 5 and y = 2x - 7.

Back

Yes

Front

What is the solution to the system of equations: y = -2x + 4 and y = 2x - 4?

Back

(0, 2)

Front

If two lines intersect at a point, how many solutions does the system of equations have?

Back

One solution

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Overlapping lines

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate a variable.

Front

What is the first step in using the elimination method?

Back

Align the equations and make the coefficients of one variable the same.