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הבהרות משפטיות
חיפוש
מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות פשוטות בנעלם אחד/תרגילים/רמה ב
שפה
מעקב
עריכה
<
מתמטיקה תיכונית
|
אלגברה תיכונית
|
משוואות
|
משוואות פשוטות בנעלם אחד
|
תרגילים
תרגילים
עריכה
התירו (פתרו) את המשוואות הבאות:
−
1
8
x
−
2
+
4
+
4
3
x
−
3
5
x
=
−
1
8
x
−
23
5
{\displaystyle -{\frac {1}{8}}x-2+4+{\frac {4}{3}}x-{\frac {3}{5}}x=-{\frac {1}{8}}x-{\frac {23}{5}}}
2
+
6
7
x
+
1
=
−
1
7
x
+
5
7
x
−
3
2
+
51
14
{\displaystyle 2+{\frac {6}{7}}x+1=-{\frac {1}{7}}x+{\frac {5}{7}}x-{\frac {3}{2}}+{\frac {51}{14}}}
x
+
6
5
x
−
1
2
x
−
5
7
x
=
2
+
4
7
x
−
111
70
{\displaystyle x+{\frac {6}{5}}x-{\frac {1}{2}}x-{\frac {5}{7}}x=2+{\frac {4}{7}}x-{\frac {111}{70}}}
5
8
x
−
5
3
+
7
=
−
3
7
x
−
2
7
+
1
+
599
168
{\displaystyle {\frac {5}{8}}x-{\frac {5}{3}}+7=-{\frac {3}{7}}x-{\frac {2}{7}}+1+{\frac {599}{168}}}
8
5
+
2
3
x
−
3
2
−
1
=
7
6
x
+
1
2
−
49
10
{\displaystyle {\frac {8}{5}}+{\frac {2}{3}}x-{\frac {3}{2}}-1={\frac {7}{6}}x+{\frac {1}{2}}-{\frac {49}{10}}}
−
4
+
1
4
x
=
−
4
7
x
+
2
x
+
1
4
x
+
1
3
+
269
21
{\displaystyle -4+{\frac {1}{4}}x=-{\frac {4}{7}}x+2x+{\frac {1}{4}}x+{\frac {1}{3}}+{\frac {269}{21}}}
−
2
3
+
1
4
x
+
5
4
x
+
5
7
=
−
4
3
−
3
4
−
73
84
{\displaystyle -{\frac {2}{3}}+{\frac {1}{4}}x+{\frac {5}{4}}x+{\frac {5}{7}}=-{\frac {4}{3}}-{\frac {3}{4}}-{\frac {73}{84}}}
−
1
−
1
2
+
7
2
=
7
5
+
5
−
8
7
−
114
35
{\displaystyle -1-{\frac {1}{2}}+{\frac {7}{2}}={\frac {7}{5}}+5-{\frac {8}{7}}-{\frac {114}{35}}}
3
4
−
5
6
−
7
3
−
1
2
+
4
3
x
−
4
3
x
=
−
35
12
{\displaystyle {\frac {3}{4}}-{\frac {5}{6}}-{\frac {7}{3}}-{\frac {1}{2}}+{\frac {4}{3}}x-{\frac {4}{3}}x=-{\frac {35}{12}}}
−
8
7
x
+
7
4
x
+
x
=
1
4
x
+
3
8
−
7
+
979
56
{\displaystyle -{\frac {8}{7}}x+{\frac {7}{4}}x+x={\frac {1}{4}}x+{\frac {3}{8}}-7+{\frac {979}{56}}}
1
2
−
5
7
x
−
8
3
=
−
8
3
x
+
3
2
x
+
1
2
+
58
21
{\displaystyle {\frac {1}{2}}-{\frac {5}{7}}x-{\frac {8}{3}}=-{\frac {8}{3}}x+{\frac {3}{2}}x+{\frac {1}{2}}+{\frac {58}{21}}}
3
8
−
2
−
8
x
−
3
7
x
=
−
7
5
+
5
3
x
−
9
40
{\displaystyle {\frac {3}{8}}-2-8x-{\frac {3}{7}}x=-{\frac {7}{5}}+{\frac {5}{3}}x-{\frac {9}{40}}}
5
6
x
+
3
8
+
7
3
x
−
2
=
−
7
5
−
3
2
x
+
2773
120
{\displaystyle {\frac {5}{6}}x+{\frac {3}{8}}+{\frac {7}{3}}x-2=-{\frac {7}{5}}-{\frac {3}{2}}x+{\frac {2773}{120}}}
7
+
1
2
x
+
1
+
x
=
−
4
x
+
2
5
x
−
481
10
{\displaystyle 7+{\frac {1}{2}}x+1+x=-4x+{\frac {2}{5}}x-{\frac {481}{10}}}
−
7
6
−
8
3
−
8
3
x
+
2
3
−
1
4
x
=
1
−
55
2
{\displaystyle -{\frac {7}{6}}-{\frac {8}{3}}-{\frac {8}{3}}x+{\frac {2}{3}}-{\frac {1}{4}}x=1-{\frac {55}{2}}}
8
3
+
7
5
−
3
4
−
2
x
−
5
x
+
4
=
3799
60
{\displaystyle {\frac {8}{3}}+{\frac {7}{5}}-{\frac {3}{4}}-2x-5x+4={\frac {3799}{60}}}
−
5
+
8
x
+
2
5
x
−
2
3
+
2
x
=
7
6
+
1667
30
{\displaystyle -5+8x+{\frac {2}{5}}x-{\frac {2}{3}}+2x={\frac {7}{6}}+{\frac {1667}{30}}}
7
6
−
x
+
4
3
x
−
3
2
x
=
−
7
2
x
+
4
5
−
619
30
{\displaystyle {\frac {7}{6}}-x+{\frac {4}{3}}x-{\frac {3}{2}}x=-{\frac {7}{2}}x+{\frac {4}{5}}-{\frac {619}{30}}}
4
−
2
5
+
x
=
−
3
8
+
4
3
+
1
3
x
−
163
120
{\displaystyle 4-{\frac {2}{5}}+x=-{\frac {3}{8}}+{\frac {4}{3}}+{\frac {1}{3}}x-{\frac {163}{120}}}
7
5
−
8
=
−
3
−
2
5
x
−
7
6
x
−
x
−
191
6
{\displaystyle {\frac {7}{5}}-8=-3-{\frac {2}{5}}x-{\frac {7}{6}}x-x-{\frac {191}{6}}}
4
3
−
2
−
1
4
x
+
1
=
−
1
2
+
5
−
59
12
{\displaystyle {\frac {4}{3}}-2-{\frac {1}{4}}x+1=-{\frac {1}{2}}+5-{\frac {59}{12}}}
−
7
x
+
1
4
x
−
4
3
x
=
−
3
4
+
3
2
−
5
3
x
−
20
{\displaystyle -7x+{\frac {1}{4}}x-{\frac {4}{3}}x=-{\frac {3}{4}}+{\frac {3}{2}}-{\frac {5}{3}}x-20}
4
5
x
+
3
−
1
3
=
1
2
x
−
2
3
x
+
1
+
79
30
{\displaystyle {\frac {4}{5}}x+3-{\frac {1}{3}}={\frac {1}{2}}x-{\frac {2}{3}}x+1+{\frac {79}{30}}}
−
3
2
+
2
3
−
3
2
x
+
5
7
−
5
4
x
=
1
5
x
+
1229
84
{\displaystyle -{\frac {3}{2}}+{\frac {2}{3}}-{\frac {3}{2}}x+{\frac {5}{7}}-{\frac {5}{4}}x={\frac {1}{5}}x+{\frac {1229}{84}}}
2
+
3
7
x
+
7
=
−
7
4
+
4
x
−
7
6
+
101
84
{\displaystyle 2+{\frac {3}{7}}x+7=-{\frac {7}{4}}+4x-{\frac {7}{6}}+{\frac {101}{84}}}
−
2
x
+
4
5
x
+
1
2
−
5
4
=
−
1
4
x
−
1
2
+
109
20
{\displaystyle -2x+{\frac {4}{5}}x+{\frac {1}{2}}-{\frac {5}{4}}=-{\frac {1}{4}}x-{\frac {1}{2}}+{\frac {109}{20}}}
1
4
−
2
5
−
2
+
2
=
−
6
5
x
−
1
+
257
20
{\displaystyle {\frac {1}{4}}-{\frac {2}{5}}-2+2=-{\frac {6}{5}}x-1+{\frac {257}{20}}}
−
2
x
−
5
x
+
1
3
+
7
2
x
+
1
=
−
2
5
+
577
30
{\displaystyle -2x-5x+{\frac {1}{3}}+{\frac {7}{2}}x+1=-{\frac {2}{5}}+{\frac {577}{30}}}
−
7
8
x
+
4
−
3
2
−
1
=
−
3
x
−
6
7
−
529
28
{\displaystyle -{\frac {7}{8}}x+4-{\frac {3}{2}}-1=-3x-{\frac {6}{7}}-{\frac {529}{28}}}
−
5
4
−
5
7
+
3
5
x
=
3
x
−
4
7
x
+
3
4
x
+
43
70
{\displaystyle -{\frac {5}{4}}-{\frac {5}{7}}+{\frac {3}{5}}x=3x-{\frac {4}{7}}x+{\frac {3}{4}}x+{\frac {43}{70}}}
−
4
3
x
−
3
8
+
x
+
6
7
−
4
x
−
5
2
=
−
1569
56
{\displaystyle -{\frac {4}{3}}x-{\frac {3}{8}}+x+{\frac {6}{7}}-4x-{\frac {5}{2}}=-{\frac {1569}{56}}}
−
5
8
x
−
1
6
−
3
8
=
−
2
−
x
−
5
+
127
12
{\displaystyle -{\frac {5}{8}}x-{\frac {1}{6}}-{\frac {3}{8}}=-2-x-5+{\frac {127}{12}}}
x
−
5
3
x
+
4
3
x
=
7
3
−
3
4
−
1
−
71
12
{\displaystyle x-{\frac {5}{3}}x+{\frac {4}{3}}x={\frac {7}{3}}-{\frac {3}{4}}-1-{\frac {71}{12}}}
3
+
x
+
x
=
x
+
1
2
x
−
1
7
−
19
14
{\displaystyle 3+x+x=x+{\frac {1}{2}}x-{\frac {1}{7}}-{\frac {19}{14}}}
−
7
+
5
+
1
+
1
6
x
−
1
=
5
4
−
13
4
{\displaystyle -7+5+1+{\frac {1}{6}}x-1={\frac {5}{4}}-{\frac {13}{4}}}
3
5
x
−
3
5
−
2
5
+
3
=
−
x
−
2
x
−
8
5
{\displaystyle {\frac {3}{5}}x-{\frac {3}{5}}-{\frac {2}{5}}+3=-x-2x-{\frac {8}{5}}}
2
x
−
7
8
x
+
x
+
1
7
x
−
1
5
x
=
4
x
−
5951
280
{\displaystyle 2x-{\frac {7}{8}}x+x+{\frac {1}{7}}x-{\frac {1}{5}}x=4x-{\frac {5951}{280}}}
3
x
−
x
−
1
2
x
+
7
6
=
−
1
−
2
5
+
617
30
{\displaystyle 3x-x-{\frac {1}{2}}x+{\frac {7}{6}}=-1-{\frac {2}{5}}+{\frac {617}{30}}}
−
3
4
−
3
−
3
4
x
−
1
7
x
=
7
−
2
−
95
28
{\displaystyle -{\frac {3}{4}}-3-{\frac {3}{4}}x-{\frac {1}{7}}x=7-2-{\frac {95}{28}}}
−
4
5
+
1
2
+
8
+
x
=
−
8
3
+
5
4
x
+
163
15
{\displaystyle -{\frac {4}{5}}+{\frac {1}{2}}+8+x=-{\frac {8}{3}}+{\frac {5}{4}}x+{\frac {163}{15}}}
−
2
−
2
3
+
1
−
7
6
x
=
x
−
4
3
+
37
6
{\displaystyle -2-{\frac {2}{3}}+1-{\frac {7}{6}}x=x-{\frac {4}{3}}+{\frac {37}{6}}}
3
5
−
7
5
+
3
5
+
5
6
x
+
3
5
=
−
3
4
x
−
93
5
{\displaystyle {\frac {3}{5}}-{\frac {7}{5}}+{\frac {3}{5}}+{\frac {5}{6}}x+{\frac {3}{5}}=-{\frac {3}{4}}x-{\frac {93}{5}}}
x
−
5
6
x
−
2
x
−
3
2
+
1
=
5
7
x
−
877
42
{\displaystyle x-{\frac {5}{6}}x-2x-{\frac {3}{2}}+1={\frac {5}{7}}x-{\frac {877}{42}}}
−
2
x
+
2
x
−
7
8
=
−
x
+
1
3
x
−
x
+
259
24
{\displaystyle -2x+2x-{\frac {7}{8}}=-x+{\frac {1}{3}}x-x+{\frac {259}{24}}}
3
2
x
+
3
5
−
3
7
=
7
2
+
6
+
1
8
x
−
6077
280
{\displaystyle {\frac {3}{2}}x+{\frac {3}{5}}-{\frac {3}{7}}={\frac {7}{2}}+6+{\frac {1}{8}}x-{\frac {6077}{280}}}
7
6
x
−
3
5
x
=
8
5
+
1
7
x
−
8
3
x
−
4
7
x
+
439
14
{\displaystyle {\frac {7}{6}}x-{\frac {3}{5}}x={\frac {8}{5}}+{\frac {1}{7}}x-{\frac {8}{3}}x-{\frac {4}{7}}x+{\frac {439}{14}}}
−
x
−
1
=
−
1
2
x
−
x
+
2
−
1
2
−
1
{\displaystyle -x-1=-{\frac {1}{2}}x-x+2-{\frac {1}{2}}-1}
7
3
−
1
−
1
4
+
5
=
−
8
7
x
−
6
−
137
84
{\displaystyle {\frac {7}{3}}-1-{\frac {1}{4}}+5=-{\frac {8}{7}}x-6-{\frac {137}{84}}}
−
2
+
8
3
−
1
−
8
7
=
−
4
+
4
3
+
25
21
{\displaystyle -2+{\frac {8}{3}}-1-{\frac {8}{7}}=-4+{\frac {4}{3}}+{\frac {25}{21}}}
7
6
x
−
4
+
7
4
x
+
8
3
x
=
1
−
6
7
x
−
6371
84
{\displaystyle {\frac {7}{6}}x-4+{\frac {7}{4}}x+{\frac {8}{3}}x=1-{\frac {6}{7}}x-{\frac {6371}{84}}}
תשובות סופיות
עריכה
−
9
{\displaystyle -9}
−
3
{\displaystyle -3}
1
{\displaystyle 1}
−
1
{\displaystyle -1}
7
{\displaystyle 7}
−
12
{\displaystyle -12}
−
2
{\displaystyle -2}
3
{\displaystyle 3}
−
3
{\displaystyle -3}
8
{\displaystyle 8}
12
{\displaystyle 12}
0
{\displaystyle 0}
5
{\displaystyle 5}
−
11
{\displaystyle -11}
8
{\displaystyle 8}
−
8
{\displaystyle -8}
6
{\displaystyle 6}
−
9
{\displaystyle -9}
−
6
{\displaystyle -6}
−
11
{\displaystyle -11}
3
{\displaystyle 3}
3
{\displaystyle 3}
1
{\displaystyle 1}
−
5
{\displaystyle -5}
3
{\displaystyle 3}
−
6
{\displaystyle -6}
10
{\displaystyle 10}
−
5
{\displaystyle -5}
−
10
{\displaystyle -10}
−
1
{\displaystyle -1}
6
{\displaystyle 6}
11
{\displaystyle 11}
−
8
{\displaystyle -8}
−
9
{\displaystyle -9}
0
{\displaystyle 0}
−
1
{\displaystyle -1}
11
{\displaystyle 11}
12
{\displaystyle 12}
−
6
{\displaystyle -6}
−
2
{\displaystyle -2}
−
3
{\displaystyle -3}
−
12
{\displaystyle -12}
8
{\displaystyle 8}
7
{\displaystyle 7}
−
9
{\displaystyle -9}
9
{\displaystyle 9}
3
{\displaystyle 3}
−
12
{\displaystyle -12}
−
9
{\displaystyle -9}
−
11
{\displaystyle -11}
