Divavachhani
Divavachhani Divavachhani
  • 08-09-2022
  • Mathematics
contestada

solve for a in terms of b and c

b = 3a + 5ac​

Respuesta :

anthonyviloriomontes
anthonyviloriomontes anthonyviloriomontes
  • 08-09-2022
1 Factor out the common term
a
a.
b
=
a
(
3
+
5
c
)
b=a(3+5c)

2 Divide both sides by
a
a.
b
a
=
3
+
5
c
a
b
​
=3+5c

3 Subtract
3
3 from both sides.
b
a
−
3
=
5
c
a
b
​
−3=5c

4 Divide both sides by
5
5.
b
a
−
3
5
=
c
5
a
b
​
−3
​
=c

5 Simplify
b
a
−
3
5
5
a
b
​
−3
​
to
b
a
5
−
3
5
5
a
b
​

​
−
5
3
​
.
b
a
5
−
3
5
=
c
5
a
b
​

​
−
5
3
​
=c

6 Simplify
b
a
5
5
a
b
​

​
to
b
5
a
5a
b
​
.
b
5
a
−
3
5
=
c
5a
b
​
−
5
3
​
=c

7 Switch sides.
c
=
b
5
a
−
3
5
c=
5a
b
​
−
5
3
​

Answer Link

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