Solve System of Linear Equations

• X Y Z Solver
• Matrix X Y Z Calculator

Check the answers by substituting the values of x, y, and z into the original equations 1st Equation: 2x + 2y + 4z = 48 2.8 + 2.6 + 4.5 = 48 16 + 12 + 20 = 48. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints 'True' to let you know that the answer is right.

This section shows you how to solve a system of linear equationsusing the Symbolic Math Toolbox™.

Solve System of Linear Equations Using linsolve

A system of linear equations

$$\begin{array}{l}{a}_{11}{x}_1+a_{12}{x}_2+\dots +a_{1n}{x}_n=b_1\\ a_{21}{x}_1+a_{22}{x}_2+\dots +a_{2n}{x}_n=b_2\\ \cdots \\ a_{m1}{x}_1+a_{m2}{x}_2+\dots +a_{mn}{x}_n=b_m\end{array}$$

can be represented as the matrix equation $$A\cdot \overrightarrow{x}=\overrightarrow{b}$$, where A isthe coefficient matrix,

and $$\overrightarrow{b}$$ is the vector containing theright sides of equations,

If you do not have the system of linear equations in the form AX= B, use equationsToMatrix to convertthe equations into this form. Consider the following system.

Declare the system of equations.

Use equationsToMatrix to convert the equationsinto the form AX = B. The second input to equationsToMatrix specifiesthe independent variables in the equations.

Use linsolve to solve AX = B forthe vector of unknowns X.

From X, x = 3, y = 1 and z = -5.

Solve System of Linear Equations Using solve

Use solve instead of linsolve ifyou have the equations in the form of expressions and not a matrixof coefficients. Consider the same system of linear equations.

X Y Z Solver

Declare the system of equations.

Solve the system of equations using solve.The inputs to solve are a vector of equations,and a vector of variables to solve the equations for.

solve returns the solutions in a structurearray. To access the solutions, index into the array.

Matrix X Y Z Calculator

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