Question

For each equation, determine if x=2 is a solution. Explain or show your reasoning. 1. space minus 2 left parenthesis x minus 4 right parenthesis equals 4 2. space 26 over x equals 13 3. space minus 3.8 x equals negative 7.4 4. space 4 left parenthesis x minus 1 right parenthesis minus 3 left parenthesis x minus 2 right parenthesis equals negative 8

Answer 1

For the given equations, x=2 is a solution for the first two equations but not for the last two. We substitute x=2 and evaluate each equation to determine if the equation is valid with x=2.

Step-by-step explanation:

To determine if x=2 is a solution for each equation, we substitute x with 2 and check if the equation holds.

1. -2(x - 4) = 4. Substituting x with 2, we get -2(2 - 4) = -2(-2) = 4. Since 4 equals 4, x=2 is a solution.
2. 26/x = 13. Substituting x with 2, we get 26/2 = 13. Since 13 equals 13, x=2 is a solution.
3. -3.8x = -7.4. Substituting x with 2, we get -3.8(2) = -7.6, which does not equal -7.4. Therefore, x=2 is not a solution.
4. 4(x - 1) - 3(x - 2) = -8. Substituting x with 2, we get 4(2 - 1) - 3(2 - 2) = 4(1) - 3(0) = 4, which does not equal -8. Thus, x=2 is not a solution.