The purpose of this research is to describe the errors made by students in solving problems on the topic of the Three-Variable Linear Equation System (SPLTV). The problems are presented in the form of story problems. This research is a descriptive study with a qualitative approach. The subjects in this study were students from class X PPLG at SMK Muhammadiyah 2. A total of 6 subjects were selected from 24 students, consisting of 2 students from the upper group, two from the middle group, and two from the lower group. The selection of 6 subjects was intended to provide a diverse representation of student abilities, allowing for a more in-depth analysis of the common types of errors at each ability level. Data collection techniques were conducted using test instruments. Meanwhile, the data analysis technique in this study is a qualitative analysis based on Newman's framework to identify and classify the errors made by students in solving story problems in the SPLTV material. The results showed that most students still made mistakes in solving story problems based on the types of Newman stage errors, namely 1) Two students were wrong at the reading stage, 2) Two students were wrong at the comprehension stage, 3) Two students were wrong at the transformation stage, 4) Two students were wrong at the process skill stage, 5) One student was wrong at the encoding stage.