Solve using augmented matrices. y = –9 –9x + 8y = –18 (_____, _____)

Write Matrix Form: First, let's write the system of equations in matrix form. We have y = –9 and –9x + 8y = –18. The augmented matrix is: [0 1 | –9] [–9 8 | –18]Solve for x: Now, let's solve for x using the second equation –9x + 8y = –18. Since we know y = –9, we can substitute it in. –9x + 8(–9) = –18 –9x – 72 = –18Add 72: Next, we add 72 to both sides to isolate the term with x. –9x – 72 + 72 = –18 + 72 –9x = 54Divide by -9: Then, we divide both sides by –9 to solve for x. –9x / –9 = 54 / –9 x = –6Final Solution: Now we have the values for x and y. x = –6 and y = –9. The solution to the system of equations is (–6, –9).

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Solve using augmented matrices. $\newline$ $y = -9$ $\newline$ $-9x + 8y = -18$ $\newline$ (_, _)

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Precalculus

Solve a system of equations using elimination

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Q. Solve using augmented matrices.

\newline

y = -9

\newline

-9x + 8y = -18

\newline

(_____, _____)

Write Matrix Form: First, let's write the system of equations in matrix form. $\newline$ We have $y = -9$ and $-9x + 8y = -18$ . $\newline$ The augmented matrix is: $\newline$ \begin{array}{cc|c} 0 & 1 & -9 \ -9 & 8 & -18 \end{array}
Solve for x: Now, let's solve for x using the second equation $–9x + 8y = –18$ . Since we know $y = –9$ , we can substitute it in. $–9x + 8(–9) = –18$ $–9x – 72 = –18$
Add $72$ : Next, we add $72$ to both sides to isolate the term with $x$ . $\newline$ $-9x - 72 + 72 = -18 + 72$ $\newline$ $-9x = 54$
Divide by $-9$ : Then, we divide both sides by $–9$ to solve for $x$ . $\frac{–9x}{–9} = \frac{54}{–9}$ $x = –6$
Final Solution: Now we have the values for $x$ and $y$ . $x = -6$ and $y = -9$ .The solution to the system of equations is $(-6, -9)$ .