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University of California - Los Angeles

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Problem 7

In Exercises 7-10, find $x$ and $y$.

$\left[ \begin{array}{r} x & -2 \\ 7 & y \end{array} \right] = \left[ \begin{array}{r} -4 & -2 \\ 7 & 22 \end{array} \right]$

Answer

$x=-4$

$y=22$

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## Discussion

## Video Transcript

The question here gives us the Matrix X seven native to and why. And it sets an equal to this matrix here, negative two and 22 like such, and it costs us to find the values of X and y. So from here, we know that these two matrixes Mitrice's rather have the same dimension. Rather, that means that they have the same number of rows, so they're both two by two, where they have to rose in two columns as such. So from here, we know that through some of the properties that we've learned before about matrices, we know that if it has the same dimension like such, it will have each individual value within the me tricks would be equal to each other. That is, for example, negative to here in the second row. And first column is equal to the negative two over here. So from here, we can now state that X is there for equal toe up negative for, and why is equal toe 22. So we know that exit therefore equal to make the floor and why I was trying to. So that would be the answer to the question here

## Recommended Questions

In Exercises 7-10, find $x$ and $y$.

$\left[ \begin{array}{r} x+2 & 8 & -3 \\ 1 & 2y & 2x \\ 7 & -2 & y+2 \end{array} \right] = \left[ \begin{array}{r} 2x+6 & 8 & -3 \\ 1 & 18 & -8 \\ 7 & -2 & 11 \end{array} \right]$

In Exercises 7-10, find $x$ and $y$.

$\left[ \begin{array}{r} -5 & x \\ y & 8 \end{array} \right] = \left[ \begin{array}{r} -5 & 13 \\ 12 & 8 \end{array} \right]$

In Exercises 7-10, find $x$ and $y$.

$\left[ \begin{array}{r} 16 & 4 & 5 & 4 \\ -3 & 13 & 15 & 6 \\ 0 & 2 & 4 & 0 \end{array} \right] = \left[ \begin{array}{r} 16 & 4 & 2x+1 & 4 \\ -3 & 13 & 15 & 3x \\ 0 & 2 & 3y-5 & 0 \end{array} \right]$

For Exercises 21 to $32,$ solve for $y$.

$$2 x+7 y=14$$

For each of the following exercises, solve the equation for $y$ in terms of $x$ .

$$x-2 y=7$$

For Exercises 21 to $32,$ solve for $y$.

$$5 x-y=7$$

In Exercises $7-10,$ find the values of $\mathrm{x}$ and $\mathrm{y}$ . Write your answers in simplest form. (See Example 2 .)

GRAPH CANNOT COPY

In Exercises $7-10,$ find the values of $\mathrm{x}$ and $\mathrm{y}$ . Write your answers in simplest form. (See Example 2 .)

GRAPH CANNOT COPY

In Exercises $7-10,$ find the values of $\mathrm{x}$ and $\mathrm{y}$ . Write your answers in simplest form. (See Example 2 .)

GRAPH CANNOT COPY

GRAPH CANNOT COPY