[{"data":1,"prerenderedAt":135},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Fsistemas-de-ecuaciones?{}":3,"topics-with-content:algebra":112},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":68,"sameName":111},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},212,"sistemas-de-ecuaciones","Sistemas de ecuaciones",11,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},22,176,141,2445,[23,31],{"universityId":11,"questions":24,"years":25},14,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":5,"questions":32,"years":33},8,[26,27,28,29,30],[35,38,41,44,47,50,52,55,58,61,63,66],{"name":36,"classes":37},"Academia ipluton",39,{"name":39,"classes":40},"Ciclo Uni-San Marcos",30,{"name":42,"classes":43},"Academia Internet",25,{"name":45,"classes":46},"Academia Grupo Ciencias",23,{"name":48,"classes":49},"Alberto Cruz",20,{"name":51,"classes":16},"Academias Aduni y César Vallejo",{"name":53,"classes":54},"Pamer Corporación Educativa",9,{"name":56,"classes":57},"CEPRE UNMSM",6,{"name":59,"classes":60},"META VILLARREAL",4,{"name":62,"classes":60},"Salón Sapiens",{"name":64,"classes":65},"Trilce Multimedia",3,{"name":67,"classes":5},"Academia_Pitagoras",[69,94],{"id":70,"courseId":5,"topicId":13,"pastExamId":71,"stem":72,"options":73,"correctKey":81,"explanation":89,"difficulty":5,"status":90,"source":91,"stats":92},1825,201,"Determine el conjunto solución del siguiente sistema:\n$$\\begin{aligned}x^2+y^2-4x+2y&=4\\\\ y-x&=0\\end{aligned}$$\nDé como respuesta la suma de las coordenadas de todos los puntos solución.",[74,77,80,83,86],{"key":75,"text":76},"A","0",{"key":78,"text":79},"B","1",{"key":81,"text":82},"C","2",{"key":84,"text":85},"D","3",{"key":87,"text":88},"E","4","","published","UNI 2026-2 · Matemática",{"attempts":93,"accuracy":93},0,{"id":95,"courseId":5,"topicId":13,"pastExamId":96,"stem":97,"options":98,"correctKey":84,"explanation":89,"difficulty":60,"status":90,"source":109,"stats":110},5314,252,"Se sabe lo siguiente:\n• El número de canicas blancas que tiene B es igual al número de canicas negras que tiene A.\n• La cantidad de canicas negras que tiene B es igual a la cantidad de canicas blancas que tiene A.\n• La diferencia entre las cantidades de canicas negras que B y A tienen, en ese orden, es de 20 unidades.\n• La cantidad total de canicas blancas que tienen entre ambos es menor que 42 y el número de canicas negras que tiene A es mayor que 9.\n\nA partir de la información anterior, determine el número de canicas blancas que tiene A.",[99,101,103,105,107],{"key":75,"text":100},"25",{"key":78,"text":102},"27",{"key":81,"text":104},"35",{"key":84,"text":106},"30",{"key":87,"text":108},"28","UNMSM 2026-II · Área D · Ciencias Económicas y de la Gestión",{"attempts":93,"accuracy":93},[],[71,113,114,115,116,117,118,119,120,121,122,13,123,124,125,126,127,128,129,130,131,132,133,134],202,203,204,205,206,207,208,209,210,211,213,214,215,216,217,218,219,220,221,223,225,226,1791501527101]