Use algebra to solve for X in the matrix.

Question

This is a 2x2 matrices problem. However, I am unable to type the matrices symbol in so I wrote it out.

 

Given A = 7  ,   x (top row) 15  ,  22 (bottom row). and the determinant for matrix A is 289, use algebra to solve for x.

Answer 1

It looks like your matrix is

 

| 7    x  |

|15  22 |

 

Set the determinant equal to 289 and solve for x.

 

7(22) - 15x = 289

 

Now solve for x and finish from here.