Solving Linear Systems of Equations

Front

What is a linear system of equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean to solve a linear system?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical method for solving linear systems?

Back

Plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is slope-intercept form?

Back

A way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

What is the y-intercept of the line y = 3x - 16?

Back

The y-intercept is -16.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5).

Front

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

Back

They have no solution because they never intersect.