Question

29х-15х+16=100 15z+8z-59=102 11y+32y-127=45

Answer 1

29х-15х+16=100
14х=100-16
14х=84
х=6

15z+8z-59=102
23z=161
z=7

11у+32у-127=45
43у=172
у=4

Answer 2

29х-15х+16=100     15z+8z-59=102               11y+32y-127=45
14х=100-16              23z=102+59                    43y=45+127
14х=84                      23z=161                           43y=172
    х=6                               z=7                                  y=4

Answer 3

To solve each of these equations, we'll combine like terms and isolate the variable on one side. Let's go through each equation step by step:

1. 29x - 15x + 16 = 100

Combining like terms, we have: (29x - 15x) + 16 = 100 14x + 16 = 100

Next, let's isolate x by subtracting 16 from both sides: 14x + 16 - 16 = 100 - 16 14x = 84

To solve for x, divide both sides by 14: (14x)/14 = 84/14 x = 6

Therefore, the solution for the first equation is x = 6.

2. 15z + 8z - 59 = 102

Combining like terms, we have: (15z + 8z) - 59 = 102 23z - 59 = 102

Next, let's isolate z by adding 59 to both sides: 23z - 59 + 59 = 102 + 59 23z = 161

To solve for z, divide both sides by 23: (23z)/23 = 161/23 z = 7

Therefore, the solution for the second equation is z = 7.

3. 11y + 32y - 127 = 45

Combining like terms, we have: (11y + 32y) - 127 = 45 43y - 127 = 45

Next, let's isolate y by adding 127 to both sides: 43y - 127 + 127 = 45 + 127 43y = 172

To solve for y, divide both sides by 43: (43y)/43 = 172/43 y = 4

Therefore, the solution for the third equation is y = 4.

In summary: x = 6 z = 7 y = 4