Question

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

Answer 1

Answer:

The solution to the system of the equations will be:

$x=3,\:y=1$

Step-by-step explanation:

Given the system of the equations

$x+y=4$

$x-y=2$

solving the system of the equations

$\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}$

$x-y=2$

$-$

$\underline{x+y=4}$

$-2y=-2$

solving

$-2y=-2$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-2}{-2}$

$y=1$

$\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1$

$x+1=4$

$x=3$

Therefore, the solution to the system of the equations will be:

$x=3,\:y=1$