When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system.
eliminate?
isolate
substitute
When using the substitution method to solve a nonlinear system of equations, you should first see if you can isolate one variable in one of the equations in the system.
To do this, scan both equations in the system and identify which variable can be easily isolated by using one of the equations. Look for a variable that has a coefficient of 1 or -1, or a variable that appears by itself on one side of the equation. This will make the process of substitution much simpler and more efficient.
Once you have identified the equation that can be used to isolate a variable, solve it for that variable in terms of the other variables. Then substitute this expression into the other equation, replacing the variable you just isolated. This will result in a new equation with only one variable, which can be solved easily to find its value.
By using the substitution method, you effectively find the value of one variable in terms of the other variables, which allows you to substitute this value back into one of the original equations to solve for the remaining variables. This process helps you find the solution to the nonlinear system of equations.