Question

How many solutions does the equation 3(5v - 7) = -6(15v - 15) have?

1) No solution
2) One solution
3) Infinite solutions
4) Cannot be determined

Answer 1

After simplifying the equation 3(5v - 7) = -6(15v - 15), it becomes 105v = 90, which has one solution when further solved to get v = 6/7.

Step-by-step explanation:

To determine the number of solutions to the equation 3(5v - 7) = -6(15v - 15), we first need to simplify and solve for v. By distributing the coefficients, we have:

• 15v - 21 = -90v + 90

Next, we combine like terms by adding 90v to each side and adding 21 to each side:

• 105v - 21 + 21 = -90v + 90v + 90
• 105v = 90

Dividing both sides by 105 to solve for v:

• v = 90 / 105
• v = 6/7

Since we were able to find a value for v that satisfies the equation, it means that the equation has one solution.

The equation has one solution.