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Математика1143.1 1) 7x = -30 + 2x; 2) 16 - 18x = -25x - 12: 3) -17x + 20 = 7x - 28; 4) 20 - 2x = 27 + x; 5) 0,2x + 4,3 = 0,4x-6,5; 6) 0,6x + 100 = 0,9x+1; 9 7)-x+18=-x+17; 14 3 8)-x-11=x+11. 15 4 9
Ответ:
Ответ:
1) 7x = -30 + 2x
7x - 2x = -30
5x = -30
x = -30 / 5
x = -6
2) 16 - 18x = -25x - 12
-18x + 25x = -12 - 16
7x = -28
x = -28 / 7
x = -4
3) -17x + 20 = 7x - 28
-17x - 7x = -28 - 20
-24x = -48
x = -48 / -24
x = 2
4) 20 - 2x = 27 + x
-2x - x = 27 - 20
-3x = 7
x = -7 / 3
x = -2\(\frac{1}{3}\)
5) 0,2x + 4,3 = 0,4x - 6,5
0,2x - 0,4x = -6,5 - 4,3
-0,2x = -10,8
x = -10,8 / -0,2
x = 54
6) 0,6x + 100 = 0,9x + 1
0,6x - 0,9x = 1 - 100
-0,3x = -99
x = -99 / -0,3
x = 330
7) \(-\frac{9}{14}\)x + 18 = \(-\frac{3}{2}\)x + 17
\(-\frac{9}{14}\)x + \(\frac{3}{2}\)x = 17 - 18
\(-\frac{9}{14} + \frac{21}{14}\)x = -1
\(\frac{12}{14}\)x = -1
\(\frac{6}{7}\)x = -1
x = -1 / \(\frac{6}{7}\)
x = -\(\frac{7}{6}\)
8) \(-\frac{8}{15}\)x - 11 = \(\frac{4}{9}\)x + 11
\(-\frac{8}{15}\)x - \(\frac{4}{9}\)x = 11 + 11
\(-\frac{24}{45} - \frac{20}{45}\)x = 22
\(-\frac{44}{45}\)x = 22
x = 22 / \(-\frac{44}{45}\)
x = 22 * \(-\frac{45}{44}\)
x = -\(\frac{45}{2}\)
Ответ: 1) x = -6; 2) x = -4; 3) x = 2; 4) x = -2\(\frac{1}{3}\); 5) x = 54; 6) x = 330; 7) x = -\(\frac{7}{6}\); 8) x = -\(\frac{45}{2}\)
1) 3x = 28 - x
3x + x = 28
4x = 28
x = 28 / 4
x = 7
2) 5x + 12 = 8x + 30
5x - 8x = 30 - 12
-3x = 18
x = 18 / -3
x = -6
3) 33 + 8x = -5x + 72
8x + 5x = 72 - 33
13x = 39
x = 39 / 13
x = 3
Ответ: 1) x = 7; 2) x = -6; 3) x = 3
Ответ:
1) -6(x + 2) = 4x – 17
-6x - 12 = 4x - 17
-6x - 4x = -17 + 12
-10x = -5
x = -5 / -10
x = 0,5
2) (18x – 19) – (4 – 7x) = -73
18x - 19 - 4 + 7x = -73
25x - 23 = -73
25x = -73 + 23
25x = -50
x = -50 / 25
x = -2
3) 10x+3(7-2x)=13
10x + 21 - 6x = 13
4x + 21 = 13
4x = 13 - 21
4x = -8
x = -8 / 4
x = -2
4) -3(4-5y)+2(3-6y)=3
-12 + 15y + 6 - 12y = 3
3y - 6 = 3
3y = 3 + 6
3y = 9
y = 9 / 3
y = 3
Ответ: 1) x = 0,5; 2) x = -2; 3) x = -2; 4) y = 3
Ответ:
1) 9(x - 1) = x + 15
9x - 9 = x + 15
9x - x = 15 + 9
8x = 24
x = 24 / 8
x = 3
2) (11x + 14) - (5x – 8) = 25
11x + 14 - 5x + 8 = 25
6x + 22 = 25
6x = 25 - 22
6x = 3
x = 3 / 6
x = 0,5
3) 12-4(x-3)=33-1
12 - 4x + 12 = 32
24 - 4x = 32
-4x = 32 - 24
-4x = 8
x = 8 / -4
x = -2
4) 2(3x+5)=34x-1
6x + 10 = 34x - 1
6x - 34x = -1 - 10
-28x = -11
x = -11 / -28
x = \(\frac{11}{28}\)
Ответ: 1) x = 3; 2) x = 0,5; 3) x = -2; 4) x = \(\frac{11}{28}\)
Ответ: 1) x = 3; 2) x = 0,5; 3) x = -2; 4) x = \(\frac{11}{28}\)
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