Algebra Examples

$[\begin{array}{c} 10 & 5 \\ 16 & 10.5 \end{array}] = [\begin{array}{c} 4 x - 6 & 8 - 10 t \\ 4 x & 10.5 \end{array}]$

Step 1

Write as a linear system of equations.

$10 = 4 x - 6$

$5 = 8 - 10 t$

$16 = 4 x$

$10.5 = 10.5$

Step 2

Since $10.5 = 10.5$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.