If u = 6v + 11 and u = v + 1, find u and v

To solve for u and v, we can start by equating the two expressions for u:

• From the first equation, we have: u = 6v + 11
• From the second equation, we have: u = v + 1

Since both expressions represent u, we can set them equal to each other:

6v + 11 = v + 1

Now, we can solve for v:

• Subtract v from both sides: 6v – v + 11 = 1
• This simplifies to: 5v + 11 = 1
• Next, subtract 11 from both sides: 5v = 1 – 11
• This simplifies to: 5v = -10
• Now, divide both sides by 5: v = -2

Now that we have v, we can substitute it back into either equation to find u. We’ll use the second equation:

u = v + 1

Substituting v = -2:

u = -2 + 1 = -1

In conclusion, we found: u = -1 and v = -2.