Find $x$ and $y$.
\[
\left[\begin{array}{rr}
1 & 2 x \\
y & -6
\end{array}\right]=\left[\begin{array}{rr}
1 & -12 \\
-2 & -6
\end{array}\right]
\]

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $\boxed{x = -6, y = -2}$

Steps

Step 1 ：The given problem is a matrix equation. To solve for x and y, we need to equate the corresponding elements of the two matrices. This will give us two equations, which we can then solve to find the values of x and y.

Step 2 ：From the first column of the matrix, we get the equation $y = -2$.

Step 3 ：From the second column of the matrix, we get the equation $2x = -12$. Solving this equation gives us $x = -6$.

Step 4 ：The solution to the system of equations is $x = -6$ and $y = -2$.

Step 5 ：Final Answer: $\boxed{x = -6, y = -2}$

Find $x$ and $y$.\[\left[\begin{array}{rr}1 & 2 x \\y & -6\end{array}\right]=\left[\begin{array}{rr}1 & -12 \\-2 & -6\end{array}\right]\]

Answer

Popular Problems

Find $x$ and $y$.
\[
\left[\begin{array}{rr}
1 & 2 x \\
y & -6
\end{array}\right]=\left[\begin{array}{rr}
1 & -12 \\
-2 & -6
\end{array}\right]
\]