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Math
Algebra
Linear Algebra
Solutions to systems of equations
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graphing, subsituting, combination
Terms in this set (6)
system of equations
A set of equations with the same variables. The solution of the system is the ordered pair that is a solution for all of the equations.
example: x+2y=5
2x-3y=3
solution of a system of equations
satisfies all equations in the system; can be writen as an ordered pair.
solve by graphing
find where lines intersect
how to graph
1. put each equation into slope-intercept form
2. graph
3. solution is where lines intersect
subsitution
1. isolate either variable from either equation
2.subsitute into other equation
3.solve
4.subsitute answer into other equation to find the other variable.
combination
1. make sure all variables and signs line up
2. make sure that the variables you are cancelling out have the same coefficient but different signs
3. add to combine
4. solve
5. subsitute answer into one of the equations to find the other variables.
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