You need two equations to use the addition method.
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
The answer depends on the equation: there is no single method which can be used for all equations.
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
The idea here is to add everything to the left side of both equations together, and everything on the right side. So, you get: x + y + 8 - x = 8 + 7 After simplifying, in this case you eliminate one variable, which is the purpose of this method. After solving for this variable, you can replace its value in any of the original equations to get the other variable.
You need two equations to use the addition method.
the answer
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
The answer depends on the equation: there is no single method which can be used for all equations.
If: x+y = 8 and 2x-y = 5 Then by adding the equations together: 3x = 13 or x = 13/3 By substitution into the original equations: x = 13/3 and y = 11/3
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
The idea here is to add everything to the left side of both equations together, and everything on the right side. So, you get: x + y + 8 - x = 8 + 7 After simplifying, in this case you eliminate one variable, which is the purpose of this method. After solving for this variable, you can replace its value in any of the original equations to get the other variable.
(2,3)
Equations = the method
Simultaneous equations can be solved using the elimination method.
The method is the same.