# Systems of equations questions and answers

Recent questions in Systems of equations
Systems of equations

### Solve the following system of equations: $$5x-4y=-16$$ $$-2x-3y=-12$$

Systems of equations

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

Systems of equations

### 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.

Systems of equations

### Solve the system of equations by hand. $$\begin{cases}-3x+y=2\\9x-3y=-6\end{cases}$$

Systems of equations

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

Systems of equations

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

Systems of equations

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

Systems of equations

### Two lines , P and Q , are graphed:

Systems of equations

### x+y=2x+2y=11 3x+3y=62x+4y=22 x+y=2x+2y=11 3x+3y=62x+4y=22 Two systems of equations are shown. Which TWO of the following statements each provide sufficient reasoning to show that the systems have the same solution? The two equations in the second system are multiples of the two equations in the first system. A) The two constant terms in the second system are multiples of the two equations in the first system. B) The graphs of the equations in the first system coincide with the graphs of the equations in the second system. C) The slopes of the graphs of the equations in the first system are equivalent to the slopes of the graphs of the equations in the second system. D) The x -intercepts of the graphs of the equations in the first system coincide with the x -intercepts of the graphs of the equations in the second system. E)

Systems of equations

### Write $$y=13x+7$$ in standard form using integers. a. $$−2x+3y=21$$ b. $$3x−2y=21$$ c. $$−2x−3y=21$$

Systems of equations

### Solve the system of equations $$2x+3y=5$$ $$5x-4y=2$$

Systems of equations

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

Systems of equations

### 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. $$\displaystyle{y}={x}^{{{2}}}+{6}{x}+{9}$$ $$x+y=3$$

Systems of equations

### 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) $$\displaystyle-{x}²+{y}={10}$$ $$x + y = 5$$

Systems of equations

### 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. $$x-3y=7$$ $$-3x+4y=-1$$

Systems of equations

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

Systems of equations

### Write and solve a system of equations for each situation. Check your answers A shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for$5.50. If you buy 5 bags and spend \$17, how many of each size bag did you buy?

Systems of equations

### To find the equation: $$-2y+y=6$$ $$4x-2y=5$$

Systems of equations

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

Systems of equations

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