How Do You Calculate Acceleration and Tension in a Frictionless System?

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The discussion focuses on calculating the acceleration and tension in a frictionless system involving a 21 kg block sliding on a 13 kg block. The user has derived the equations for vertical and horizontal forces, with Efy calculated as 301.5 N and Efx as -82.01 N. To find the acceleration, the user needs to apply Newton's second law, setting the sum of forces equal to mass times acceleration, specifically using the correct approach to combine Efy and Efx. A visual representation would enhance understanding of the forces at play.

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Question Details:
a 21 kg block sliding on a 13 kg block. All surfaces are frictionless. Find the magnitude of acceleration of each block and the tension in the string that connects the blocks.
Find the acceleration m/s2 (acceleration of blocks)?
and the force N (tension in string) ?

Have found Efy to be 301.5 and Efx to be -82.01, i set the Efy equal to 0 but i don't know if I am suppose to add the Efy to the Efx before I set that information equal to M*a to get the acceleration
 
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A picture would help. Or more details with the question, it is not complete.
 

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