Solve the following equations:
(a) 4 = 5(p – 2)
(b) – 4 = 5(p – 2)
(c) 16 = 4 + 3(t + 2)
(d) 4 + 5(p – 1) =34
(e) 0 = 16 + 4(m – 6)
The parts of the given question are solved below:
(a) We have to solve the given equation for p.
Therefore,
We have,
4= 5(p – 2)
Dividing both sides by 5 we get,
p =
p =
(b) We have to solve the given equation for p.
Therefore,
We have,
-4= 5(p – 2)
Dividing both sides by 5 we get,
p =
p =
(c) We have to solve the given equation for t.
Therefore,
We have,
16 = 4 + 3(t + 2)
16 – 4 = 3(t + 2)
12 = 3(t + 2)
Dividing both sides by 3, we get,
t =
(d)We have to solve the given equation for p.
Therefore,
We have,
4 + 5(p - 1) = 34
4 + 5(p - 1) = 34
5(p – 1) = 34 – 4
5(p – 1) = 30
Dividing both sides by 5, we get,
p = 6 + 1
p = 7
(e) We have to solve the given equation for m
Therefore,
We have,
0 = 16 + 4(m - 6)
-16 = 4(m - 6)
Dividing both sides by 4, we get,
m =