Question

I don’t understand this

Answer 1

Answer:

The solution to the system of linear equations

$y=4,\:x=2$

i.e. (x, y) = (2, 4)

The graph is also attached.

Step-by-step explanation:

Given the system of linear equations

$y=3x-2$

$y-2=x$

solving the system

$\begin{bmatrix}y=3x-2\\ y-2=x\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-3x=-2\\ y-x=2\end{bmatrix}$

$y-x=2$

$-$

$\underline{y-3x=-2}$

$2x=4$

solve for x

$2x=4$

Divide both sides  by 2

$\frac{2x}{2}=\frac{4}{2}$

$x=2$

$\mathrm{For\:}y-3x=-2\mathrm{\:plug\:in\:}x=2$

$y-3\cdot \:2=-2$

$y-6=-2$

$y=4$

Thus, the solution to the system of linear equations

$y=4,\:x=2$

i.e. (x, y) = (2, 4)

The graph is also attached.