Question

question 3 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.
\

$$\begin{cases}x - 3y = -16\\\\-3x + 9y = 49\\end{cases}$$

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: Isolate $x$ from first equation

$x = 3y - 16$

Step2: Substitute $x$ into second equation

$-3(3y - 16) + 9y = 49$

Step3: Simplify the equation

$-9y + 48 + 9y = 49$
$48 = 49$

Step4: Analyze the result

The simplified equation is a false statement, meaning there is no solution to the system.

Answer:

Inconsistent System