Question

y.-6.-3 = 2. y. 9 V+2=v - 2 3(n+1)=3n+1 1/2+x=1/3+x 1/4(20d+4)=5 find all of the true values or no values for these equations..

Answer 1

For the equations provided:

1. There are no true values for the first equation: y - 6 = -3.

2. There are true values for the second equation: y + 9 = v + 2.

3. There are no true values for the third equation: 3(n + 1) = 3n + 1.

4. There are no true values for the fourth equation: 1/2 + x = 1/3 + x.

5. There are true values for the fifth equation: 1/4(20d + 4) = 5.

Step-by-step explanation:

1. The equation y - 6 = -3 implies that y equals 3 when 6 is added to both sides. However, there are no solutions that make this equation true since no value for y satisfies this condition.

2. The equation y + 9 = v + 2 simplifies to y = v - 7. In this equation, there are multiple values for y and v that could make it true, as it doesn't specify a single solution.

3. The equation 3(n + 1) = 3n + 1, when simplified, leads to a contradiction (0 = 1). Thus, no value of n makes this equation true.

4. The equation 1/2 + x = 1/3 + x does not have a solution that satisfies the equation. When both sides are equated, it results in a contradiction.

5. The equation 1/4(20d + 4) = 5 simplifies to 5d + 1 = 5, and solving it yields a single solution: d = 0.8. This value satisfies the equation, making it true.

For some equations, no valid solution exists, leading to contradictions or inconsistencies, while others may have multiple valid solutions or a singular solution that satisfies the equation.