Solve the following equations and show your work:

**One-Step Equations:**

1. \(-17h = -204\)

2. \(\frac{k}{2} = -27\)

**Two-Step Equations:**

3. \(-3p + 8 = 31\)

4. \(\frac{W}{6} - 9 = -8\)

**Equations with Variables on Both Sides:**

5. \(-2(-7x + 4) = 36\)

6. \(2y - (y - 5) = 9\)

not sure what that means but I will try to answer things to remember: when working with equations, you can do anything to the equation, except divide by zero, as long as you do it to both sides .
you waant the placeholders on one side and the numbers on the other -17h=-204 multiply both sides by -1
17h=204 divide both sides by 17 h=12
k/2=-27 multiply both side by 2 2k/2=-54 k=-54
-3p-8=31 add 8 to both sides -3p=39 divide both sides by 3 -p=13 multiply both sides by -1 p=-13
so this one is tricky -2(7x+4)=36 2y-(y-5)=9 so if we simplify these equations we get -2(-7x+4)=36 distribute 14x-8=36 add 8 to both sides 14x=44 divide both sides by 14 we get x=44/14=22/7= 3 and 1/7
2y-(y-5)=9 remember that -(y-5)=-1(y-5) so distribute 2y-y-(-5)=9 add like terms y+5=9 subtract 5 from both sides y=14

Answered by apologiabiology | 2024-06-10

-17h=-204 Divide both sides by -17. Which gives you h=12 K/2=-27 multiply both sides by 2. K=-54
-3p+-8=31 Add 8 to both sides. Which gives you -3p=39. Divide both sides by -3 and you get p=-13.

Answered by oev123 | 2024-06-10

The solutions to the equations are: h = 12, k = -54, p = -23/3, W = 6, x = 22/7, and y = 4. Each equation was solved step-by-step using basic algebraic methods. It's important to isolate the variable to find the solution.
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Answered by apologiabiology | 2025-02-10