Question

Explain how to use the substitution method to solve a system of linear equations

Answer 1

The substitution method is used to solve a system of linear equations by substituting one equation into another to eliminate one variable. The resulting equation is then solved to find the value of the variable, which can be substituted back into one of the original equations to find the value of the other variable. This method is useful for solving systems of equations with two variables.

Step-by-step explanation:

1. Start with a system of linear equations in the form of y = mx + b.
2. Choose one equation and solve it for one variable in terms of the other variable.
3. Substitute the expression for the variable from step two into the other equation(s).
4. Solve the resulting equation(s) to find the value(s) of the variable(s).
5. Substitute the value(s) of the variable(s) back into one of the original equations to find the values of the other variable(s).
6. Check the solution by substituting the values obtained for the variables into both of the original equations.

Answer 2

the method of solving by substitution works by solving one of the equations (you could choose which one) for one of the variables (you choose which one) and then plugging in this back into the other equation substituting for the chosen variable and solving for others then you back solve for the first variable (Your Welcome !)

Step-by-step explanation: