\begin{tabular}{|l}$$ \begin{array}{l}y=-3 x-80 \ y=7 x\end{array} $$ \ The solution is the point \end{tabular}

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UpStudy AI · Accepted Answer

To find the solution to the system of equations given by:

1. $$ y = -3x - 80 $$
2. $$ y = 7x $$

we can set the two equations equal to each other since they both equal $$ y $$:

$$
-3x - 80 = 7x
$$

Now, let's solve this equation step by step.

1. Add $$ 3x $$ to both sides:
   $$
   -80 = 10x
   $$

2. Divide both sides by $$ 10 $$:
   $$
   x = -8
   $$

Now that we have the value of $$ x $$, we can substitute it back into either of the original equations to find $$ y $$. We'll use the second equation $$ y = 7x $$:

$$
y = 7(-8) = -56
$$

Thus, the solution to the system of equations is the point $$ (-8, -56) $$.

Let's summarize the solution:

The solution is the point $$ (-8, -56) $$.
The solution is the point $$ (-8, -56) $$.

The solution is the point

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