Solve the following system of equations: \(5x-4y=-16\) \(-2x-3y=-12\)

Solve the system of equations by hand. \(\begin{cases}-2x+y=5\\ -6x+3y=21\end{cases}\)

Consider the system of equations described by \(\begin{cases}x_1=2x_1-3x_2\\x_2=4x_1-5x_2\end{cases}\) 1. Write down the system of equations in matrix form. 2. Find the eigenvalues of the system of equations. 3. Find the associated eigenvectors.

Solve the system of equations by hand.

\(\begin{cases}-3x+y=2\\9x-3y=-6\end{cases}\)

Solve the system of equations by hand. \(\begin{cases}5x-4y=-5\\3x+y=14\end{cases}\)

Solve the system of equations by hand. \(\begin{cases}x+4y=-2\\-2x+12y=9\end{cases}\)

Solve the system of equations \(\begin{cases}-7x + 6y =20\\2x -3y=2\end{cases}\)

Two lines , P and Q , are graphed:

Write \(y=13x+7\) in standard form using integers.

a. \(−2x+3y=21\)

b. \(3x−2y=21\)

c. \(−2x−3y=21\)

Solve the system of equations \(2x+3y=5\) \(5x-4y=2\)

Solve the system by clennaton \(2x-y=0\) \(3x-2y=-3\) The solution is ( . )

Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems below. include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable. \(\displaystyle{y}={x}^{{{2}}}+{6}{x}+{9}\) \(x+y=3\)

Which system of equations is not a linear system? a) \(2x + y = 11\) \(x = 13 + y\) b) \(2x = 11 - y\) \(4x - y = 13\) c) \(\displaystyle-\frac{{1}}{{2}}{x}-{y}=\frac{{3}}{{4}}\) \(\displaystyle\frac{{3}}{{2}}{x}+{2}=-\frac{{7}}{{8}}\) d) \(\displaystyle-{x}²+{y}={10}\) \(x + y = 5\)

Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems below. include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable. \(x-3y=7\) \(-3x+4y=-1\)

Solve \(\begin{cases}(x-3)^2+(y+1)^2=5\\x-3y=7\end{cases}\)

To find the equation:

\(-2y+y=6\) \(4x-2y=5\)

What is the solution of the system of equations? \(y = 2x - 3\) \(5x + y = 11\) \(A (2, 1)\) \(B (1, 2)\) \(C (3, -4)\) \(D (1, -1)\)

Solve the system of equations. \(\{(x,+,4y,=,-2),(-2x,+12y,=,9):\}\)