Question

question 5 of 10, step 1 of 1 use the method of substitution to solve the following system of equations. if the system is dependent, express the solution set in terms of one of the variables. leave all fractional answers in fraction form. \\(\

$$\begin{cases} 6x + 4y = -36 \\\\ -x = -6 \\end{cases}$$

\\) answer selecting an option will display any text boxes needed to complete your answer. \\(\circ\\) only one solution \\(\circ\\) inconsistent system \\(\circ\\) dependent system

Explanation:

Step1: Solve for $x$ from second equation

From $-x = -6$, multiply both sides by $-1$:
$x = 6$

Step2: Substitute $x=6$ into first equation

Substitute $x=6$ into $6x + 4y = -36$:
$6(6) + 4y = -36$

Step3: Simplify and solve for $y$

Calculate $6(6)=36$, then rearrange:
$36 + 4y = -36$
$4y = -36 - 36$
$4y = -72$
$y = \frac{-72}{4} = -18$

Answer:

Only One Solution
$x=6$, $y=-18$