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Математика1 вариант № 1 a) 6x = 24; б) 13x = -39; в) 8x = 4; г) 6х = 7,5; №2 a) 3x + 8 = x — 12; 6) x + 4 = 3 - 2x; в) 5у = 2у + 16; г) —2х + 9 — 8= x — 1. д) 43+4x+(11—5x) = 7; e) 6(x+11)-7x = 73+x; 2 вариант №1 a) 3x-4 = 20 б) 54 - 5x = -6; в) 1,2 - 0.3х = 0; г)16-7х = 0; №2 a) 5x-11 = 2x+8; б) 6-7x = 11-6x; в) 3 - x = x+13; г) 0,8х-4 = 0,5—7; д) 12-4х - (2+x) = 5x; e) 8(3-x)-12+6x = 25-x;
Ответ:
1 вариант
№1
а) $$6x = 24$$
$$x = \frac{24}{6}$$
$$x = 4$$
б) $$13x = -39$$
$$x = \frac{-39}{13}$$
$$x = -3$$
в) $$8x = 4$$
$$x = \frac{4}{8}$$
$$x = 0.5$$
г) $$6x = 7.5$$
$$x = \frac{7.5}{6}$$
$$x = 1.25$$
№2
а) $$3x + 8 = x - 12$$
$$3x - x = -12 - 8$$
$$2x = -20$$
$$x = -10$$
б) $$x + 4 = 3 - 2x$$
$$x + 2x = 3 - 4$$
$$3x = -1$$
$$x = -\frac{1}{3}$$
в) $$5y = 2y + 16$$
$$5y - 2y = 16$$
$$3y = 16$$
$$y = \frac{16}{3}$$
$$y = 5\frac{1}{3}$$
г) $$-2x + 9 - 8 = x - 1$$
$$-2x + 1 = x - 1$$
$$-2x - x = -1 - 1$$
$$-3x = -2$$
$$x = \frac{2}{3}$$
д) $$43 + 4x + (11 - 5x) = 7$$
$$43 + 4x + 11 - 5x = 7$$
$$54 - x = 7$$
$$-x = 7 - 54$$
$$-x = -47$$
$$x = 47$$
e) $$6(x+11) - 7x = 73 + x$$
$$6x + 66 - 7x = 73 + x$$
$$-x + 66 = 73 + x$$
$$-x - x = 73 - 66$$
$$-2x = 7$$
$$x = -\frac{7}{2}$$
$$x = -3.5$$
2 вариант
№1
a) $$3x - 4 = 20$$
$$3x = 24$$
$$x = 8$$
б) $$54 - 5x = -6$$
$$-5x = -6 - 54$$
$$-5x = -60$$
$$x = 12$$
в) $$1.2 - 0.3x = 0$$
$$-0.3x = -1.2$$
$$x = \frac{-1.2}{-0.3}$$
$$x = 4$$
г) $$16 - 7x = 0$$
$$-7x = -16$$
$$x = \frac{16}{7}$$
$$x = 2\frac{2}{7}$$
№2
a) $$5x - 11 = 2x + 8$$
$$5x - 2x = 8 + 11$$
$$3x = 19$$
$$x = \frac{19}{3}$$
$$x = 6\frac{1}{3}$$
б) $$6 - 7x = 11 - 6x$$
$$-7x + 6x = 11 - 6$$
$$-x = 5$$
$$x = -5$$
в) $$3 - x = x + 13$$
$$-x - x = 13 - 3$$
$$-2x = 10$$
$$x = -5$$
г) $$0.8x - 4 = 0.5 - 7$$
$$0.8x - 4 = -6.5$$
$$0.8x = -6.5 + 4$$
$$0.8x = -2.5$$
$$x = \frac{-2.5}{0.8}$$
$$x = -3.125$$
д) $$12 - 4x - (2 + x) = 5x$$
$$12 - 4x - 2 - x = 5x$$
$$10 - 5x = 5x$$
$$-5x - 5x = -10$$
$$-10x = -10$$
$$x = 1$$
e) $$8(3 - x) - 12 + 6x = 25 - x$$
$$24 - 8x - 12 + 6x = 25 - x$$
$$12 - 2x = 25 - x$$
$$-2x + x = 25 - 12$$
$$-x = 13$$
$$x = -13$$
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