Final answer:
The provided calculator options can be used to solve systems of equations with two unknown variables: Cramer's rule calculator, Gaussian elimination calculator, matrix inversion calculator, and substitution method calculator.
Step-by-step explanation:
The calculator options provided can all be used to solve systems of equations with two unknown variables. Let's go over each option:
- Cramer's Rule Calculator: Cramer's rule can be used to solve systems of equations by finding the determinants of the coefficient matrix and the matrices obtained by replacing one column with the constant terms. The unknown variables can then be calculated using the determinants.
- Gaussian Elimination Calculator: Gaussian elimination is a method of solving systems of equations by applying row operations to transform the augmented matrix into reduced row-echelon form. The solution is obtained by back-substituting the unknown variables.
- Matrix Inversion Calculator: Matrix inversion can be used to solve systems of equations by finding the inverse of the coefficient matrix and multiplying it by the column matrix of constant terms. The unknown variables can then be obtained from the resulting matrix.
- Substitution Method Calculator: The substitution method involves solving one equation for one variable and substituting that expression into the other equations. This allows for solving the remaining equation(s) for the unknown variable(s).