Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}









y=−7x+3
y=−x−3

Respuesta :

Answer:

[tex]x=1\\y=-4[/tex]

Step-by-step explanation:

The System of equations is:

[tex]\left \{ {{y=-7x+3} \atop {y=-7x+3}} \right.[/tex]

In order to solve the system of equations you need to find the value of the variable "x" and the value of the variable "y".

Then, you can follow the steps shown below:

Step 1. You can use the Equalization methods. Make [tex]y=y[/tex]. Then:

[tex]y=y\\\\-7x+3=-x-3[/tex]

Step 2. You must solve for the variable "x" in order to find its value. This is:

[tex]3+3=-x+7x\\\\6=6x\\\\\frac{6}{6} =x\\\\x=1[/tex]

Step 3. SUbstitute the value of "x" into any original equation:

[tex]y=-x-3 \\\\y=-(1)-3[/tex]

Step 4. Evaluating, you get that "y" is:

[tex]y=-1-3\\\\y=-4[/tex]

The solution of the given system of equations is [tex](1,-4)[/tex].

Given information:

The system of linear equations is,

[tex]y=-7x+3\\y=-x-3[/tex]

We have to find the solution of the given system of linear equations.

Solve the equations by using the elimination method as,

[tex]y=-7x+3\\y=-x-3\\y-y=-7x+x+3+3\\0=-6x+6\\x=1\\y=-4[/tex]

Therefore, the solution of the given system of equations is [tex](1,-4)[/tex].

For more details about linear equation, refer to the link:

https://brainly.com/question/11897796

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