Precalculus Examples

[\begin{array}{c} 4 & - 3 \\ 4 & 5 \end{array}] = [\begin{array}{c} 4 & x \\ 4 & y \end{array}]

$[\begin{array}{c} 4 & - 3 \\ 4 & 5 \end{array}] = [\begin{array}{c} 4 & x \\ 4 & y \end{array}]$

Step 1

The matrix equation can be written as a set of equations.

4 = 4

$4 = 4$

- 3 = x

$- 3 = x$

4 = 4

$4 = 4$

5 = y

$5 = y$

Step 2

Rewrite the equation as

x = - 3

$x = - 3$ .

x = - 3

$x = - 3$

5 = y

$5 = y$

Step 3

Rewrite the equation as

y = 5

$y = 5$ .

y = 5

$y = 5$

x = - 3

$x = - 3$

Step 4

List all of the solutions.

y = 5, x = - 3

$y = 5, x = - 3$

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