how do you solve these
1. 7d-2+5=20
2. 4x-10x=28
3. -4x-10x+28
4. 8y-3y+6= -10
5. 9+4w-6=12
6. 9w+4-6=12
7.18m-6-m=-16
8. -6r-r-13=-18
1.
7d-2+5=20
7d = 20 + 2 - 5
7d = 17
d = 17/7
d = 2 3/7
2.
4x-10x=28
-6x = 28
x = 28/6
x = 4 4/6 = 4 2/3
Follow that pattern for the rest of your problems.
The answer to number two should be:
- 4 2/3
i knew that
To solve these equations, we need to isolate the variable on one side of the equation.
1. 7d - 2 + 5 = 20
Starting with the left side of the equation, we combine like terms: 7d - 2 + 5 = 7d + 3
Now, we have 7d + 3 = 20
To isolate the variable term, we subtract 3 from both sides: 7d = 17
Finally, we divide both sides by 7 to solve for d: d = 17/7 or approximately 2.43
2. 4x - 10x = 28
Combining like terms on the left side gives: -6x = 28
To isolate the variable term, we divide both sides by -6: x = 28/-6 or approximately -4.67
3. -4x - 10x + 28
It seems like this equation might be incomplete as it lacks an equal sign and a right-hand side. A complete equation is required to solve for x.
4. 8y - 3y + 6 = -10
Combining like terms on the left side: 5y + 6 = -10
Subtracting 6 from both sides: 5y = -16
Dividing both sides by 5 gives us: y = -16/5 or -3.2
5. 9 + 4w - 6 = 12
Combining like terms: 4w + 3 = 12
Subtracting 3 from both sides: 4w = 9
Dividing both sides by 4: w = 9/4 or 2.25
6. 9w + 4 - 6 = 12
Combining like terms: 9w - 2 = 12
Adding 2 to both sides: 9w = 14
Dividing both sides by 9: w = 14/9 or approximately 1.56
7. 18m - 6 - m = -16
Combining like terms: 17m - 6 = -16
Adding 6 to both sides: 17m = -10
Dividing both sides by 17: m = -10/17 or approximately -0.59
8. -6r - r - 13 = -18
Combining like terms: -7r - 13 = -18
Adding 13 to both sides: -7r = -5
Dividing both sides by -7: r = (-5)/(-7) or approximately 0.71