Respuesta :

Answer:

x = 3

Step-by-step explanation:

This is an explain in forming and solving a system of linear equations.

If the triangles are congruent, the corresponding sides are congruent as well.

So we form equations by equating equal quantities.

13 = 4x+1  ........................(1)

2x+y = 8x-2y.................  (2)

From (1), we find

13=4x+1

subtract 1 from each side,

13-1 = 4x+1 -1

12 = 4x

Divide each side by 4

12/4 = 4x/4

3 = x

Therefore x=3

We don't need to worry about y or the second equation because we have already obtained the required answer.