Systems of Linear Equations

Front

What is the solution of a system of linear equations?

Back

The intersection of the two equations on a graph.

Front

Solve the following system by substitution: y = 2x + 4 and y = -x + 1. What is the solution?

Back

(1, 6)

Front

Solve by substitution: y = 3x + 14 and y = -4x. What is the value of y?

Back

y = -2

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 graphical representation of a system of linear equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Front

Solve by elimination: 2x + 3y = 6 and 4x - 3y = 12. What is the solution?

Back

(3, 0)

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

What does the slope of a line represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

Solve the following system by substitution: x + y = 5 and y = 2x - 1. What is the solution?

Back

(2, 3)

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis.