Solve for x and y if

Since given is the matrix equation we would equate the right hand side elements with left hand side elements

2x + y = 5 …1

and x – 3y = 13 ….2

Multiplying equation 2 by 2

we get (x – 3y = 13 ) 2

2x – 6y = 26 ….3

Subtracting equation 1 and 3

Or

Y = – 3

Substituting value of y in 1

2x – 3 = 5 ⇒ 2x = 8 ⇒ x = 4

Hence the solution is x = 4 and y = – 3