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How do you determine the values of x and y in a linear equation in two variables?
There are 4 ways to do it. You can graph, use substitution, use elimination, or use matrices. Graphing: Graph the two equations and the coordinates where they intersect are the answer. Substitution: Solve one of the equations for one of the variables and substitute that in the other equation. Then you'll find the value of that variable and you can substitute that and get the other variable. Elimination: Make the coefficients of one of the variables opposites of each other and then add both equations. The opposites will cancel and you have the other variable. Then when you find that variable, find the other one by substituting the number for that variable in one of the equations. Matrices: Make sure both equations are in standard form (Ax+By=C). Then make a 2x2 matrix that has the coefficients of x in the left column and the coefficients of y in the right column and each equation gets its own row. Then make a 2x1 matrix with the C values. Put the C value of the equation you put at the top at the top and the other one at the bottom. Then multiply the inverse of the 2x2 matrix by the 2x1 matrix and you'll get a 2x1 matrix with x at the top and y at the bottom.
How do you do linear equations?
To solve linear equations, you always use the inverse operations
What is the definition of multi-step equations?
They are equations in which you have to use more than more function to solve the problem.
How do you solve simultaneous equation using calculator fx-82MS?
According to the fx-82MS manual (downloadable from the Casio website: http://http://support.casio.com/en/manual/manuallist.php?cid=004) the fx-82MS does not appear to have a built-in simultaneous equation solver - you would have to solve them yourself through algebraic manipulations of the equations. A different calculator, eg the fx-115MS, which does have built-in simultaneous equation solving would be required. On the fx-115MS the steps are: [mode][mode][mode] 1 (to get EQN mode) This then prompts (Unknowns?) for the number of unknowns - either 2 (for 2 equations with unknown x & y: ax + by = c) or 3 (for 3 equations with unknown x, y & z: ax + by + cz = d). Once selected, you then enter all the coefficients (the a, b, c[, d] for the equations, the subscript telling you which equations (a1, a2, etc). After entering each one, pressing equals [=] will move onto the next coefficient; after the last coefficient has been entered the calculator works out the required value of x and y (and z for 3 unknowns). It displays the value for x; to get the values of the other unknowns use up and down on the navigate/replay key; or press the equals [=] key. Before the last coefficient is entered, you can use up and down on the navigate/replay key to go up and down the coefficients and correct them. If the given coefficients means there is no unique answer (eg two equations are multiples of each other) a Math ERROR will occur. Pressing [AC] returns to entering the first coefficient (as below). Once all unknowns have had their values vied, pressing equals [=] on the last one returns to entering the first coefficient (the coefficients previously entered are presented for editing) to allow further equations, or corrections, to be entered. To leave EQN mode, use: [mode] 1 to return to Comp[utation] mode. The fx-115MS can also be used to solve quadratic or cubic equations: Pressing [mode][mode][mode] 1 [right] will bring up a choice of Degree? which can be 2 (for a quadratic) or 3 (a cubic). Here you enter the coefficients as before and the roots of the equation are the answer. If a result has an imaginary value, [shift][=] will alternate between the real and imaginary parts of the current solution (an indicator at the top right of the screen tells you which part it is).
If coefficients aren't equal or opposite can do a little manipulation so that you can still use the elimination method?
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