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| two or more equations that are graphed on the same graph are called |
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Definition
| a system of linear equations |
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| Another phrase meaning a system of linear equations |
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Definition
| simultaneous linear equations |
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| A solution to a system of equations |
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Definition
| the point(s) on both lines |
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| To determine if an ordered pair is a solution to an equation |
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Definition
| Plug in the values and see if you get an identity |
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| To determine if a point is the intersection of two lines |
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Definition
| Plug the values into both equations and see if you get identities |
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| When two straight lines are graphed on the same graph, what three things can happen? |
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Definition
| The lines can intersect, be parallel or be coincident. |
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| If lines are intersecting, how many points do they have in common? |
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| If lines are parallel, how many points do they have in common? |
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| If lines are coincident, how many points do they have in common? |
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| If lines have one or more points in common, the system is |
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| If lines have no points in common, the system is |
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| If the system is consistent and the lines intersect in one point then the equations are |
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Definition
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| If the system is consistent and the lines intersect in infinitely many points then the equations are |
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Definition
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| If lines cross, the lines. |
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| If lines in a plane never touch each other, the lines are |
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Definition
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| If one line is graphed directly on top of another, the lines are |
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Definition
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| If you solve a system of equations and your answer is an ordered pair, the lines |
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Definition
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| If you solve a system of equations and your answer is an identity, the lines |
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Definition
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| If you solve a system of equations and your answer is a contradiction, the lines |
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| What are the three ways to solve a system of linear equations? |
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| Family A buys 5 hot dogs and 4 drinks for 14.00. Family B buys 4 hot dogs and 6 drinks for 14.00. Set up the system of equations. |
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| In boat problems, downstream means |
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Definition
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| In boat problems, upstream means |
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Definition
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| In plane problems, tailwind means |
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Definition
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| In plane problems, headwind means |
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Definition
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| If a boat is going with the current, the rate is |
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Definition
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| If a boat is going against the current, the rate is |
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Definition
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| In current problems, the first variable in the rate must always be |
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Definition
| "the man-made object (plane or boat)" |
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| The solution to a dependent system of equations is written as the set of a ordered pairs (x, y) such that |
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Definition
| one of the equations in the system is true |
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| If a system of equations has infinitely many solutions, then the equations are |
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Definition
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| If a system of equations has infinitely many solutions, then the system is |
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Definition
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| Solving a system of equations by the addition (elimination) method works best if both equations are in which form? |
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Definition
| standard form: Ax + By =C |
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| In general, you've got a chance of finding a solution to a system of equations if the number of equations is equal to |
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Definition
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| When using substitution to solve a system of equations, solve for the variable whose |
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Definition
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| A solution to a system of equations must satisfy |
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