When solving system of equations, you have three choices to choose from that can help you with solving the equations.
1.)Substitution.
In substitution, out of the two equations, you choose one and isolate one of the variables. After you isolate that variable, you will plug that in the other equation. For example, you isolated the "y," you would plug in the equation for "y" in the other equation, and solve for the variable in that equation. This will then result in a value, that you will then plug it into the first equation to find the second value.
2.)Elimination.
In elimination, you need to cancel out one variables with the other equation.
For example: 3j-k=10 *One of the equations could be multiplied by
4j-k=16 -1 to cancel of the other k. (-k+k=0)
After you cancel out one of the variables, you solve for the other variable. Then, you take that variable and plug it in to one of the equations to solve for the other variable that was canceled out.
3.) Graphing.
In graphing, you graph both of the equations and see where both of the lines meet. However, some of the lines do not meet. There are consistent and independent lines (the line has exactly one solution), consistent and dependent lines ( contains an infinite number of solutions), or a inconsistent line (contains no solution).
My favorite out of the three would probably have to be elimination because to me, this is the easiest form for me. I mean, really all you have to do is change one of the variables to cancel out the other and then solve. It's super easy. And just to add, the one I dislike the most would probably be substitution. I just don't like it. Elimination is much less work, I think.
Click here to watch an informational video on how to write an equation is slope intercept form
https://drive.google.com/file/d/0B5Z87RC_J_ptUkVwa0lCYUtEa3M/view
1.)Substitution.
In substitution, out of the two equations, you choose one and isolate one of the variables. After you isolate that variable, you will plug that in the other equation. For example, you isolated the "y," you would plug in the equation for "y" in the other equation, and solve for the variable in that equation. This will then result in a value, that you will then plug it into the first equation to find the second value.
2.)Elimination.
In elimination, you need to cancel out one variables with the other equation.
For example: 3j-k=10 *One of the equations could be multiplied by
4j-k=16 -1 to cancel of the other k. (-k+k=0)
After you cancel out one of the variables, you solve for the other variable. Then, you take that variable and plug it in to one of the equations to solve for the other variable that was canceled out.
3.) Graphing.
In graphing, you graph both of the equations and see where both of the lines meet. However, some of the lines do not meet. There are consistent and independent lines (the line has exactly one solution), consistent and dependent lines ( contains an infinite number of solutions), or a inconsistent line (contains no solution).
My favorite out of the three would probably have to be elimination because to me, this is the easiest form for me. I mean, really all you have to do is change one of the variables to cancel out the other and then solve. It's super easy. And just to add, the one I dislike the most would probably be substitution. I just don't like it. Elimination is much less work, I think.
Click here to watch an informational video on how to write an equation is slope intercept form
https://drive.google.com/file/d/0B5Z87RC_J_ptUkVwa0lCYUtEa3M/view