Question

Solve for a. 7a-2b = 5a+b

Answer 1

Answer:  The required value of a is $\dfrac{3}{2}b.$

Step-by-step explanation:  We are given to solve the following equation for variable a :

$7a-2b=5a+b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the above equation for a, we need to take terms involving a on one side of equality that that involving b on the other side.

So, from equation (i), we get

$7a-2b=5a+b\\\\\Rightarrow 7a-5a=b+2b\\\\\Rightarrow 2a=3b\\\\\Rightarrow a=\dfrac{3}{2}b.$

Thus, the required value of a is $\dfrac{3}{2}b.$

Answer 2

7a-2b = 5a + b
2a=3b
a = 3b/2