Solve the Matrix Equation [[15],[7]]-[[6],[2]]=[[9],[x]]

$[\begin{array}{c} 15 \\ 7 \end{array}] - [\begin{array}{c} 6 \\ 2 \end{array}] = [\begin{array}{c} 9 \\ x \end{array}]$

Simplify the right side of the equation.

Subtract the corresponding elements.

$X = [\begin{array}{c} 15 - 6 \\ 7 - 2 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 15 - 6 \\ 7 - 2 \end{array}]$ .

Simplify $15 - 6$ .

$X = [\begin{array}{c} 9 \\ 7 - 2 \end{array}]$

Simplify $7 - 2$ .

$X = [\begin{array}{c} 9 \\ 5 \end{array}]$

Solve.

$9 = 9, x = 5$

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

$15 + 6 = 9$

$7 + 2 = x$

Rewrite the equation as $x = 9$ .

$x = 9$