Systems of Linear Equations

Front

The solution of a system of linear equations is...

Back

the intersection of the two equations on a graph.

Front

When you graph the exact same equation twice, you will have...

Back

infinite solutions.

Front

What is the solution of the system of equations: 2x + 3y = 12 and x - y = 3?

Back

(6, 0)

Front

What does it mean if a system of linear equations has no solution?

Back

The lines are parallel and do not intersect.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If two lines intersect at one point, how many solutions does the system have?

Back

One solution.

Front

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

Back

The two lines overlap completely.

Front

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

Back

Substitute the point into both equations; if both are true, it is a solution.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

3.

Front

What is the solution of the system of equations: 4x - y = 7 and 2x + y = 3?

Back

(2, -1)