subject: Simultaneous Equations Problems [print this page] Introduction of simultaneous equations problems:
The equations have only one variable whose power is1called a simple equations. A linear equations problems have one variable is of the form Ax + B=0. A linear equations involving two variables is of the form Ax +By +C =0. Here x and y are variables and A, B, C are constants from their problems.
When two linear equations in two variables are satisfied by the same pair of values of the variables, the equations are called simultaneous linear equations. There are different methods for solving simultaneous equation problems.
Methods for Solving Simultaneous Equations Problems:
Type 1: Elimination Method.
Type 2: Substitution Method.
Type 3: Graphing Method.
These are the methods for solving equation used through the problems.
Elimination method:
x+y=5
x-y=10
Solve for x and y
These equations are already in simplified form
So we can directly add them
Since one of the equation have positive y and the another have negative y, so both of them will cancel out and we will get x.
x+y=5
x-y=10
---------
2x = 15
x=15/2
x=7.5
Now plug in the value of x in any of the equation so that we can get the value of y
7.5+y=5
y=5-7.5
y=-2.5
So the value of x is 7.5 and the value of y is -2.5
