Solve and find the value of a, given 3a + 4b = 20 and 2a + b = 15
A) a =
B) a = 7
C) a = 5
D) a = -1
E) a = 8

Question

Solve and find the value of a, given 3a + 4b = 20 and 2a + b = 15
A) a = 
B) a = 7 
C) a = 5 
D) a = -1 
E) a = 8

Quizplus · Accepted Answer

To solve for a, we can use the second equation to solve for b in terms of a:
2a + b = 15  
b = 15 - 2a

We can then substitute this expression for b into the first equation and solve for a:
3a + 4b = 20   
3a + 4(15 - 2a) = 20   
3a + 60 - 8a = 20   
-5a = -40   
a = 8

Therefore, the correct answer is E, a = 8.

Solve and Find the Value of A, Given 3a