Solve for a. 7a - 2b = 5a
Answer (2)
To solve the equation 7 a − 2 b = 5 a , rearranging gives a = b . This shows that a is equal to b .
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To solve for a in the equation 7 a − 2 b = 5 a , let's go step-by-step through the algebraic process.
Initial Equation : 7 a − 2 b = 5 a
Isolate terms involving a : To isolate the terms involving a , subtract 5 a from both sides. 7 a − 5 a − 2 b = 5 a − 5 a 2 a − 2 b = 0
Solve for a : Now add 2 b to both sides to isolate the a term. 2 a = 2 b Then divide both sides by 2 to solve for a .
a = b
Given that a = b , this is the consistent solution to the equation provided.
Let's also evaluate the expressions from the multiple-choice options:
Option 1: a = 2 b
Option 2: a = 3 b
Option 3: a = 2 3 b
Option 4: a = 3 2 b
The solution a = b does not directly match any of these given expressions. However, it represents the condition required for the initial equation to hold true. Therefore, this is the calculated solution based on the problem description.
