Final answer:
To solve the equations, we isolate the variable in each one step-by-step. For 3h + 4 = 6, we find h = 2/3. For 5k - 3 = -2, k = 0.2 and for -7w + 2 = -3, w = 5/7.
Step-by-step explanation:
To solve the given equations, we will isolate the variable in each one. The first step is to identify the unknown, which is the variable we are solving for in each equation. Next, we identify the knowns, which are the numbers provided in the equation.
Solving the first equation: 3h + 4 = 6
- Subtract 4 from both sides: 3h = 6 - 4.
- 3h = 2.
- Divide both sides by 3: h = 2 / 3.
- h = 2/3 or 0.67.
Solving the second equation: 5k - 3 = -2
- Add 3 to both sides: 5k = -2 + 3.
- 5k = 1.
- Divide both sides by 5: k = 1 / 5.
- k = 0.2.
Solving the third equation: -7w + 2 = -3
- Subtract 2 from both sides: -7w = -3 - 2.
- -7w = -5.
- Divide both sides by -7: w = -5 / -7.
- w = 5/7 or approximately 0.71.
In summary, we have solved each equation by eliminating terms and isolating the variable, step-by-step. Remember to check your answers to ensure they are reasonable.