Question

17х– 34 = –170; б) 7х + 5 = 9х – 11; в) 5(х −6) = 15(х −8); г) . д) 13х– 26 = -130; е) 5х −3 = 3х −11; ж)24(х +2) = 6(х −4); з)

Answer 1

Ответ:

17x-34= -170

17x= -170+34

17x= -136

x= -136:17

x = -8

7x+5=9x-11

11+5=9x-7x

16=2x

x=8

Answer 2

To solve these equations, let's go through each one step by step:

а) 17х – 34 = –170

To isolate the variable x, we'll perform the following steps:

1. Add 34 to both sides of the equation: 17x - 34 + 34 = -170 + 34 17x = -136

2. Divide both sides by 17: (17x) / 17 = (-136) / 17 x = -8

Therefore, the solution to the equation is x = -8.

б) 7х + 5 = 9х – 11

To solve for x, we'll perform the following steps:

1. Subtract 7x from both sides: 7x - 7x + 5 = 9x - 7x - 11 5 = 2x - 11

2. Add 11 to both sides: 5 + 11 = 2x - 11 + 11 16 = 2x

3. Divide both sides by 2: (16) / 2 = (2x) / 2 8 = x

So, the solution to the equation is x = 8.

в) 5(х − 6) = 15(х − 8)

Let's solve this equation step by step:

1. Distribute the multiplication on both sides of the equation: 5x - 30 = 15x - 120

2. Subtract 5x from both sides: 5x - 5x - 30 = 15x - 5x - 120 -30 = 10x - 120

3. Add 120 to both sides: -30 + 120 = 10x - 120 + 120 90 = 10x

4. Divide both sides by 10: 90 / 10 = 10x / 10 9 = x

Therefore, the solution to the equation is x = 9.

г) 13х – 26 = -130

To solve this equation, we'll perform the following steps:

1. Add 26 to both sides: 13x - 26 + 26 = -130 + 26 13x = -104

2. Divide both sides by 13: (13x) / 13 = (-104) / 13 x = -8

Hence, the solution to the equation is x = -8.

д) 5х − 3 = 3х − 11

To solve this equation, we'll perform the following steps:

1. Subtract 3x from both sides: 5x - 3x - 3 = 3x - 3x - 11 2x - 3 = -11

2. Add 3 to both sides: 2x - 3 + 3 = -11 + 3 2x = -8

3. Divide both sides by 2: (2x) / 2 = (-8) / 2 x = -4

Therefore, the solution to the equation is x = -4.

ж) 24(х + 2) = 6(х − 4)

Let's solve this equation step by step:

1. Distribute the multiplication on both sides of the equation: 24x + 48 = 6x - 24

2. Subtract 6x from both sides: 24x - 6x + 48 = 6x - 6x - 24 18x + 48 = -24

3. Subtract 48 from both sides: 18x + 48 - 48 = -24 - 48 18x = -72

4. Divide both sides by 18: (18x) / 18 = (-72) / 18 x = -4

So, the solution to the equation is x = -4.

з) The equation is missing, please provide the equation for me to solve it.