Question

Solve the following system for x, y, and z:

A. Substitution method
B. Matrix multiplication
C. Elimination method
D. Cross-multiplication

Answer 1

To solve the given system of equations using the Substitution method, choose one equation, solve it for one variable, substitute the expression into the other equation, and solve for the remaining variable. Repeat the steps for the Elimination method, and use Matrix multiplication to solve for variables.

Step-by-step explanation:

To solve the given system of equations using the Substitution method, follow these steps:

1. Choose one equation and solve it for one variable (in terms of the other variables).
2. Substitute this expression into the other equation.
3. Solve the resulting equation for the remaining variable.
4. Substitute the value found for the variable into one of the original equations to find the value of another variable.
5. Finally, substitute the values of the two variables found into one of the original equations to solve for the third variable.

Repeat the same steps for the Elimination method, where you manipulate the two equations to eliminate one of the variables. For Matrix multiplication, you can represent the system of equations as a matrix and use matrix multiplication to solve for the variables. Cross-multiplication is not a method for solving systems of equations.