oay said:[itex]z=x+2[/itex]
If you want to add knowledge, please don't confuse matters by getting basic things wrong.
Correct. Sorry to both you and HoI.Ray Vickson said:Everything HallsofIvy said was 100% correct. Where do you think he was wrong?
Elimination is a method for solving a system of equations by eliminating one variable through combining equations. Substitution is a method for solving a system of equations by substituting one equation into another to eliminate one variable.
To solve this system of equations by elimination, we need to eliminate one of the variables. We can do this by multiplying one of the equations by a constant so that when we add the equations together, one of the variables will cancel out. In this case, we can multiply the second equation by 2 and then add the equations together to eliminate the x variable.
To solve this system of equations by substitution, we need to solve one of the equations for one of the variables and then substitute that expression into the other equation. In this case, we can solve the second equation for x and then substitute that expression into the first equation. This will eliminate the x variable and allow us to solve for y.
After using either elimination or substitution, we should end up with a single equation with one variable. Solving for that variable will give us a numerical value. In this case, the solution is x = 2, y = 4, and z = 0.
It is important to check the solution because there is always a possibility of making a mistake in the solving process. Checking the solution will ensure that we have found the correct values for the variables and that they satisfy all of the original equations in the system.