Several methods exist, for example:
Add one equation to the other equation - or add multiples of each equation.
Example:
x+y = 5
2x-y = 10
Adding the equations results in:
3x = 15
Now you can solve for x; this is then replaced in one of the original equations.
Solve one equation for one variable. Substitute in the other equation. Example:
x+y = 5
2x-y = 10
Solve the first equation for x: x = 5 - y
Replace in the second equation: 2(5-y) - y = 10
Once again, you can solve for one variable, then replace that variable in one of the original equations.
Solve both equations for the same variable.
Example:
x+y = 5
2x-y = 10
Solve each equation for x:
Equation 1: x = 5 - y
Equation 2: 2x = 10 - y; x = 5 - y/2
Equate the right sides of both equations (this is valid, since they are both equal to x):
5 - y = 5 - y/2
Its called Simultaneous Equations
Graphically might be the simplest answer.
solve systems of up to 29 simultaneous equations.
Parallel lines never meet and so parallel equations do not have any simultaneous solution.
Solve simultaneous equations of up to 29 variables.
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.
The most common use for inverted matrices is to solve a set of simultaneous equations.
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By substitution or elimination of one of the variables which usually involves simultaneous or straight line equations.
Can't be done unless you have another equation with the same x and y. Then you would solve for simultaneous equations.
Simultaneous equations have the same solutions
Then they are simultaneous equations.