Please help me solve these 2-step equation problems:

1. \(\frac{V}{4} - 3 = 5\)

2. \(\frac{U}{5} + 3 = 1\)

3. \(6 + \frac{z}{9} = 9\)

4. \(-7 + \frac{f}{2} = -1\)

5. \(9 + \frac{w}{4} = -5\)

6. \(\frac{e}{7} - 3 = -5\)

7. \(-8 + \frac{d}{5} = 2\)

8. \(\frac{U}{5} + 3 = 6\)

9. \(\frac{F}{-3} + 5 = 8\)

1. 4 V ​ − 3 = 5 / ⋅ 4 V − 12 = 20 V = 20 + 12 V = 32 2. 5 U ​ + 3 = 1 \ / ⋅ 5 U + 15 = 5 U = 5 − 15 U = − 10 3. 6 + 9 z ​ = 9 / ⋅ 9 54 + z = 81 z = 81 − 54 z = 27
4. − 7 + 2 f ​ = − 1 / ⋅ 2 − 14 + f = − 2 f = − 2 + 14 f = 12 5. 9 + 4 w ​ = − 5 / ⋅ 4 36 + w = − 20 w = − 20 − 36 w = − 56 6. 7 e ​ − 3 = − 5 / ⋅ 7 e − 21 = − 35 e = − 35 + 21 e = − 14
7. − 8 + 5 d ​ = 2 / ⋅ 5 − 40 + d = 10 d = 10 + 40 d = 50 8. 5 U ​ + 3 = 6 / ⋅ 5 U + 15 = 30 U = 30 − 15 U = 15 9. − 3 F ​ + 5 = 8 / ⋅ ( − 3 ) F − 15 = − 24 F = − 24 + 15 F = − 9

Answered by kate200468 | 2024-06-10

1)v/4-3=5 v-12=20 v=32
2)u/5+3=1 u+15=5 u=-10
3)6+z/9=9 54+z=81 z=27
4)-7+f/2=-1 -14+f=-2 f=12
5)9+w/4=-5 36+w=-20 w=-56
6)e/7-3=-5 e-21=-35 e=-14
7)-8+d/5=2 -40+d=10 d=50
8)u/5+3=6 u+15=30 u=15
9)f/-3+5=8 f-15=-24 f=-9

Answered by deathstrike001 | 2024-06-10

To solve each 2-step equation, we first isolate the variable by performing inverse operations such as addition or subtraction, followed by multiplication or division. We have successfully solved each equation to find the respective variables. The final values are: V=32, U=-10, z=27, f=12, w=-56, e=-14, d=50, U=15, and F=-9.
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Answered by kate200468 | 2024-12-24