Answer
$x=4$
Work Step by Step
A 2x2 determinant can be calculated as ad−bc, where a is the upper-left entry, b is the upper-right entry, c is the lower-left entry, and d is the lower-right entry.
Therefore, the value of this determinant is $(6\times x)-(1\times-2)=26$
We can now solve this value for x.
$6x-(-2)=6x+2=26$
Subtract 2 from both sides.
$6x=24$
Divide both sides by 6.
$x=4$
