To solve the first equation, we need to isolate the variable "a"
4/7 = 8 + 2a4/7 - 8 = 2a(4 - 56/7) / 7 = 2a(28/7 - 56/7) / 7 = 2a(-28/7) / 7 = 2a-4 = 2aa = -2
Now, let's solve the second equation:
2a / 15 = 30 / 44 + 7a2a / 15 = 30 / 44 + 7a2a / 15 = 15 / 22 + 7a2a / 15 - 7a = 15 / 22(2 - 105a) / 15 = 15 / 22-103a / 15 = 15 / 22-103a = 225 / 22a = -225 / (22 * 103) = -225 / 2259
Therefore, the solutions for the equations are a = -2 and a = -225 / 2259.
To solve the first equation, we need to isolate the variable "a"
4/7 = 8 + 2a
4/7 - 8 = 2a
(4 - 56/7) / 7 = 2a
(28/7 - 56/7) / 7 = 2a
(-28/7) / 7 = 2a
-4 = 2a
a = -2
Now, let's solve the second equation:
2a / 15 = 30 / 44 + 7a
2a / 15 = 30 / 44 + 7a
2a / 15 = 15 / 22 + 7a
2a / 15 - 7a = 15 / 22
(2 - 105a) / 15 = 15 / 22
-103a / 15 = 15 / 22
-103a = 225 / 22
a = -225 / (22 * 103) = -225 / 2259
Therefore, the solutions for the equations are a = -2 and a = -225 / 2259.