Question

-4x=16 5x-8=22 6x-14=4x+7 0,5y-14=-29+0,8y

Answer 1

1) -4
2)6x-14=4x=7
6x-4x=7+14
2x=21
x=10,5
3)0,5y-14=-29+0,8y
0,5y-0.8y=-29+14
-0,3y=-15
y=50

Answer 2

To solve these equations for their respective variables, follow these steps:

1. Solve the first equation for x: -4x = 16

   Divide both sides by -4: x = 16 / -4 x = -4

2. Solve the second equation for x: 5x - 8 = 22

   Add 8 to both sides: 5x = 22 + 8 5x = 30

   Divide both sides by 5: x = 30 / 5 x = 6

3. Solve the third equation for x: 6x - 14 = 4x + 7

   Subtract 4x from both sides: 2x - 14 = 7

   Add 14 to both sides: 2x = 7 + 14 2x = 21

   Divide both sides by 2: x = 21 / 2 x = 10.5

4. Solve the fourth equation for y: 0.5y - 14 = -29 + 0.8y

   Subtract 0.8y from both sides: 0.5y - 0.8y - 14 = -29

   Combine like terms on the left side: -0.3y - 14 = -29

   Add 14 to both sides: -0.3y = -29 + 14 -0.3y = -15

   Divide both sides by -0.3: y = -15 / -0.3 y = 50

So, the solutions are:

1. x = -4
2. x = 6
3. x = 10.5
4. y = 50