Question

related questions: lesson 4: systems of equations

select the answers for \\(x\\) and \\(y\\) in the drop-down menu below, after solving the system of equations using the elimination method.

q. \\(\

$$\begin{cases} 6x + 8y = 10 \\\\ -2x - 9y = 22 \\end{cases}$$

\\)

\\(x =\\) drop-down
\\(y =\\) drop-down

Explanation:

Multiply the second equation to align coefficients

Using the Elimination Method and Systems of Equations knowledge points

$$
LATEXBLOCK0
$$

Add the equations to eliminate x

Using the Elimination Method knowledge point

$$
LATEXBLOCK1
$$

Solve for y

Using the Elimination Method knowledge point

$$
LATEXBLOCK2
$$

Substitute y back to solve for x

Using the Elimination Method knowledge point

$$
LATEXBLOCK3
$$

Answer:

Select the answers for \(x\) and \(y\) in the drop-down menu below, after solving the system of equations using the elimination method.

\(Q.

$$\begin{cases} 6x + 8y = 10 \\ -2x - 9y = 22 \end{cases}$$

\)

\(x =\) <blank>\(7\)</blank>
\(y =\) <blank>\(-4\)</blank>