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This answer will vary depending on your high school's or college's requirements; but generally, one must have a strong grasp of graphing, systems of equations, and factoring before beginning algebra 2.
2x + y = 66x + 3y = 18Usually you can use elimination, substitution, graphing, matrices, etc. to find the answer to this system. If you use any of these methods (elimination and graphing in particular) you will see that these two equations are actually the same: multiply the first equation by three and you will see what I mean.So picture it: graphing this system would essentially be drawing the same line twice. The two lines always overlap, so the equations share infinite solutions. Therefore the solution to the system is the whole line, or all the (x, y) points that satisfy 2x + y = 6.
tty
By elimination or substitution
They are called equivalent systems.
In systems of equations, the graphing method is solving x and y by graphing out the two equations. x and y being the coordinates of the two line's intersection.
-- Graph each equation individually. -- Examine the graph to find points where the individual graphs intersect. -- The points where the individual graphs intersect are the solutions of the system of equations.
very possible, unless there is something preventing them from being true, like an undefined answer. The most common ways are through substitution, graphing, and elimination.
This answer will vary depending on your high school's or college's requirements; but generally, one must have a strong grasp of graphing, systems of equations, and factoring before beginning algebra 2.
You can use a graph to solve systems of equations by plotting the two equations to see where they intersect
Objective Interface Systems was created in 1989.
2x + y = 66x + 3y = 18Usually you can use elimination, substitution, graphing, matrices, etc. to find the answer to this system. If you use any of these methods (elimination and graphing in particular) you will see that these two equations are actually the same: multiply the first equation by three and you will see what I mean.So picture it: graphing this system would essentially be drawing the same line twice. The two lines always overlap, so the equations share infinite solutions. Therefore the solution to the system is the whole line, or all the (x, y) points that satisfy 2x + y = 6.
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.
tty
Systems of equations don't equal numbers.
By elimination or substitution
CryptographyComputer graphicsCombinatoricsData recoverySolving systems of linear equations for arbitrary outputted valuesSolving systems of differential equations.