A Chrome - ALEKS - Zach Saunders - Review Ch 5
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Revlew Ch 5
Question 11 of 26 (1 point) | Question Attempt: 1 of 3
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Solve the following system of equations.
\[
\begin{array}{l}
-8 x+3 y=3 \\
13 x-3 y=-18
\end{array}
\]
\[
\begin{array}{l}
x= \\
y=
\end{array}
\]
Check

Answer

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Answer

\( y=-7 \)

Steps

Step 1 ：\( \begin{cases} -8x+3y=3 \\ 13x-3y=-18 \end{cases} \)

Step 2 ：Add the two equations: \( -8x+3y+13x-3y=3-18 \)

Step 3 ：\( x=\frac{3-18}{-8+13} \)

Step 4 ：\( x=-\frac{15}{5} \)

Step 5 ：\( x=-3 \)

Step 6 ：Plug \(x\) value into the first equation: \( -8(-3)+3y=3 \)

Step 7 ：\( 24+3y=3 \)

Step 8 ：\( 3y=-21 \)

Step 9 ：\( y=-7 \)