$$ \left.\begin{array}{l}1 ext { Graphically solve the following system of linear equations. } \ \begin{array}{l}y=x-2 \ x=-1\end{array} \ (x, y)=(\square) \square\end{array} ight) $$

Question

$$ \left.\begin{array}{l}1 	ext { Graphically solve the following system of linear equations. } \ \begin{array}{l}y=x-2 \ x=-1\end{array} \ (x, y)=(\square) \square\end{array}ight) $$

UpStudy AI · Accepted Answer

To graphically solve the system of linear equations given by:

1. $$ y = x - 2 $$
2. $$ x = -1 $$

we will follow these steps:

### Step 1: Graph the first equation

The first equation $$ y = x - 2 $$ is a linear equation with a slope of 1 and a y-intercept of -2. This means that the line crosses the y-axis at the point (0, -2) and rises one unit up for every one unit it moves to the right.

### Step 2: Graph the second equation

The second equation $$ x = -1 $$ is a vertical line that crosses the x-axis at -1. This line will extend infinitely in the y-direction.

### Step 3: Find the intersection point

To find the solution to the system of equations, we need to determine where these two lines intersect.

1. From the second equation, we know that $$ x = -1 $$.
2. Substitute $$ x = -1 $$ into the first equation to find $$ y $$:

$$
y = -1 - 2 = -3
$$

### Step 4: Write the solution

The intersection point, which is the solution to the system of equations, is:

$$
(x, y) = (-1, -3)
$$

Thus, the solution to the system of equations is:

$$
(x, y) = (-1, -3)
$$
The solution is $$ (x, y) = (-1, -3) $$.

\( \left.\begin{array}{l}1 \text { Graphically solve the following system of linear equations. } \\ \begin{array}{l}y=x-2 \\ x=-1\end{array} \\ (x, y)=(\square) \square\end{array}\right) \)

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions