Respuesta :
Answer:
[tex]\huge \boxed{a = 2b + 6c}[/tex]
Step-by-step explanation:
b = 1/2a - 3c
Add 3c to both sides of the equation.
b + 3c = 1/2a - 3c + 3c
b + 3c = 1/2a
Switch sides.
1/2a = b + 3c
Multiply both sides of the equation by 2.
2(1/2a) = 2(b + 3c)
a = 2b + 6c
Step-by-step explanation:
[tex]b = \frac{1}{2} a- 3c[/tex]
Multiply both sides ✖ of the equation by 2
[tex]2b = a - 6c[/tex]
Move the variable to the left-hand side and change its sign
[tex] - a + 2b = - 6c[/tex]
MOVE THE VARIABLE TO THE RIGHT-HAND SIDE AND CHANGE ITS SIGN
[tex] - a = - 6c - 2b[/tex]
Change the sign on both sides of the equation
[tex]a = 6c + 2b[/tex]
Therefore the answer is
[tex]a = 6c + 2b[/tex]