Question

question 1 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. \

$$\begin{cases} -5x + 2y = 24 \\\\ 5x = -40 \\end{cases}$$

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

Explanation:

Step1: Solve for $x$ from second equation

From $5x = -40$, divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5}$
$x = -8$

Step2: Substitute $x=-8$ into first equation

Substitute $x=-8$ into $-5x + 2y = 24$:
$-5(-8) + 2y = 24$
$40 + 2y = 24$

Step3: Solve for $y$

Subtract 40 from both sides:
$2y = 24 - 40$
$2y = -16$
Divide both sides by 2:
$\frac{2y}{2} = \frac{-16}{2}$
$y = -8$

Answer:

Only One Solution
$x=-8$, $y=-8$