Systems of Equations

4. the system of equations represent identical lines resulting in an unlimited number of solutions;the lines will have the same slope and y-intercept
5. system of equations do not intersect at any point resulting in parallel lines;there are no values that satisfy the system of equations;the lines will have the same slope but different y-intercepts
8. used to find the solutions to a system of equations by solving one equation for one variable and then substituting that expression into the other equations
9. used to solve a system of equations by eliminating one of the variables to obtain a new equation with only one variable
11. two lines that intersect at a right angle (90 degrees)
14. the point where a graph intersects the y-axis, it's the value of y when x is equal to zero

1. the system of equations intersect at a single point, resulting in exactly one ordered pair that satisfies all of the equations in the system;the lines will have different slopes
2. used to solve a system of equations by graphing each equation on the coordinate plane and identifying the points where the graphs intersect, if the intersect;these points of intersection represent the solutions to the systems of equations
3. lines in a plane that never intersect, no matter how far they are extended in either direction
6. two or more linear equations that are solved simultaneously to find the values of the variables that satisfy all the equations in the system
7. the ordered pair that makes all of the equations in a system true
10. the point where a graph intersects the x-axis, it is the value of x when y is equal to zero
12. a numerical or constant factor that is multiplied by a variable in an expression or equation
13. a symbol or letter representing an unknown quanity