$$ \left\{ \begin{array} { l } { y = - 6 } \ { x = - 4 y - 5 } \end{array} \left\{ \begin{array} { l } { x = \square } \end{array} ight. ight. $$

Question

$$ \left\{ \begin{array} { l } { y = - 6 } \ { x = - 4 y - 5 } \end{array} \left\{ \begin{array} { l } { x = \square } \end{array} ight. ight. $$

UpStudy AI · Accepted Answer

Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}y=-6\x=-4y-5\end{array}\right.$$
- step1: Substitute the value of $$y:$$
  $$x=-4\left(-6\right)-5$$
- step2: Simplify:
  $$x=19$$
- step3: Calculate:
  $$\left\{ \begin{array}{l}x=19\y=-6\end{array}\right.$$
- step4: Check the solution:
  $$\left\{ \begin{array}{l}x=19\y=-6\end{array}\right.$$
- step5: Rewrite:
  $$\left(x,y\right) = \left(19,-6\right)$$
To solve the system of equations:

1. **First Equation:** $$ y = -6 $$
2. **Second Equation:** $$ x = -4y - 5 $$

We can substitute the value of $$ y $$ from the first equation into the second equation.

### Step 1: Substitute $$ y $$
Substituting $$ y = -6 $$ into the second equation:

$$
x = -4(-6) - 5
$$

### Step 2: Calculate $$ x $$
Now, calculate $$ x $$:

$$
x = 24 - 5 = 19
$$

### Final Solution
Thus, the solution to the system of equations is:

$$
(x, y) = (19, -6)
$$

So, $$ x = 19 $$ and $$ y = -6 $$.
$$ x = 19 $$

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