Question

Recommendations to isolate the variable. Write your solution as an integer or as a simplified fraction 5v-4=6v-3

Answer 1

Answer: v = -1

Explanation:

Our task is to solve this equation for v.

The equation is:
`\sf{5v-4=6v-3}`.

`\sf{6v-3=5v-4}`

Subtract 5v from both sides:

`\sf{v-3=-4}`

Add 3 to both sides:

`\sf{v=-4+3}`

`\sf{v=-1}`

Therefore, v = -1.

Answer 2

-1

Explanation:

• 5v - 4 = 6v - 3

Subtract 6v from both sides

• 5v - 4 - 6v = 6v - 3 - 6v
• - 1v - 4 = - 3

Add 4 on both sides

• -1v - 4 + 4 = -3 + 4
• -1v = 1

Divide both sides by 1

• v = -1

Verification :

Let LHS = 5v - 4

RHS = 6v - 3

Solving for LHS, substitute the value of v,

• LHS = 5v - 4
• LHS = 5(-1) - 4
• LHS = -5 - 4
• LHS = -9

Solving for RHS,

• RHS = 6v - 3
• RHS = 6(-1) - 3
• RHS = -6 - 3
• RHS = -9

LHS = RHS

• Hence verified

Therefore the value of v is -1