Question

related questions: lesson 4: systems of equations

solve the system of equations using the substitution method. then select the symbol that makes the sentence true.

q. \\(\

$$\begin{cases} 7x - 6y = -15 \\\\ y = -6x - 19 \\end{cases}$$

\\)

\\(x\\) select one \\(y\\)

select one
<

=

Explanation:

Substitute the expression for y

Using the Solving Multi-Step Equations and Integer Operations knowledge points

$$
LATEXBLOCK0
$$

Solve for x

Using the Solving Multi-Step Equations and Integer Operations knowledge points

$$
LATEXBLOCK1
$$

Solve for y

Using the Solving Multi-Step Equations and Integer Operations knowledge points

$$
LATEXBLOCK2
$$

Compare x and y

We compare the values of \(x\) and \(y\) to determine the correct inequality symbol.
Since \(x = -3\) and \(y = -1\), we compare the two values:

$$ -3 < -1 $$

Therefore, \(x < y\).

Answer:

• &lt; (Correct answer)
• &gt;
• =