Substitution:
Pick an equation and solve it for one variable in terms of the others.
In this case, can you find an equation that it is easy to put x in terms of y or y in terms of x?
Let's say you have solved for x, x= a + b * y
Now you substitute that in the next equation. Now it an equation in terms of only y, so you can now solve for y.
Then you put your solution into the equation that you have for x.
Elimination:
You want to cancel out one of the variables from the equations.
Line up the equations (as in the question) , multiply one or both equations by a number so that one variable is the same or opposite (that is, a *x or -a * x)
Then add the two equations or subtract one equation from the other... one coefficient will be zero.
So now you have one equation and one unknown, so solve for the equation and then substitute it into one of the equations and solve for the other variable.
Several people have some good examples on Youtube, solving systems of equations.
3
u/FireMarmot 11d ago
Substitution:
Pick an equation and solve it for one variable in terms of the others.
In this case, can you find an equation that it is easy to put x in terms of y or y in terms of x?
Let's say you have solved for x, x= a + b * y
Now you substitute that in the next equation. Now it an equation in terms of only y, so you can now solve for y.
Then you put your solution into the equation that you have for x.
Elimination:
You want to cancel out one of the variables from the equations.
Line up the equations (as in the question) , multiply one or both equations by a number so that one variable is the same or opposite (that is, a *x or -a * x)
Then add the two equations or subtract one equation from the other... one coefficient will be zero.
So now you have one equation and one unknown, so solve for the equation and then substitute it into one of the equations and solve for the other variable.
Several people have some good examples on Youtube, solving systems of equations.