Systems of Equations - Graphing Method

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

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

Front

What is the graphing method for solving systems of equations?

Back

A method where each equation is graphed on the same coordinate plane, and the solution is the point of intersection.

Front

What is the y-coordinate of the solution to the system of equations x-2y=1 and x+4y=7?

Back

1

Front

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

Back

Substitute the point into each equation; if it satisfies all equations, it is a solution.

Front

What is the solution to the system of equations y = 5x + 1 and y = 3x + 13?

Back

(6, 31)

Front

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

Back

They have no solutions because they never intersect.

Front

What is the solution to the system of equations y=3x and y=7x-8?

Back

No, (2,3) is not a solution.

Front

What is the value of x in the solution for the system 2x-y=4 and y=-2x+8?

Back

x=3

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.