Question

Select all the equations where [a=8] is a solution?

1) a + 2 = 10
2) 3a - 4 = 20
3) 2a + 5 = 18
4) a² - 6a + 8 = 0

Answer 1

To determine which equations have a solution of a=8, substitute a=8 into each equation and solve for the unknown. Equations 1 and 2 have a solution of a=8.

Step-by-step explanation:

To determine which equations have a solution of a=8, we can substitute a=8 into each equation and solve for the unknown. Here is the step-by-step process:

1. Equation 1: Substitute a=8 into a + 2 = 10:
   8 + 2 = 10
   10 = 10
2. Equation 2: Substitute a=8 into 3a - 4 = 20:
   3(8) - 4 = 20
   24 - 4 = 20
   20 = 20
3. Equation 3: Substitute a=8 into 2a + 5 = 18:
   2(8) + 5 = 18
   16 + 5 = 18
   21 = 18
4. Equation 4: Substitute a=8 into a² - 6a + 8 = 0:
   (8)² - 6(8) + 8 = 0
   64 - 48 + 8 = 0
   24 = 0

Based on the solved equations above, only Equations 1 and 2 have a solution of a=8.