Question

Solve each equation. Check your solution.
2d+7=9
a. d=1
b. d=2
c.d=3
d. d=4

Answer 1

To solve the equation 2d + 7 = 9a and check the solution, we can follow these steps and substitute the given values into the equation.

Step-by-step explanation:

To solve the equation 2d + 7 = 9a, we need to isolate the variable d. Let's follow these steps:

1. Subtract 7 from both sides of the equation: 2d = 9a - 7
2. Divide both sides of the equation by 2: d = (9a - 7) / 2

Now we have the equation d = (9a - 7) / 2. To check the solution, we can substitute the given values a = 1, a = 2, a = 3, and a = 4 into the equation to see if it holds true.

• For a = 1, d = (9(1) - 7) / 2 = 1
• For a = 2, d = (9(2) - 7) / 2 = 2
• For a = 3, d = (9(3) - 7) / 2 = 3
• For a = 4, d = (9(4) - 7) / 2 = 4

Thus, the solutions to the equation 2d + 7 = 9a are:
d = 1, when a = 1
d = 2, when a = 2
d = 3, when a = 3
d = 4, when a = 4