Solve the following equations:
(a)
(b) 5t + 28 = 10
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
The parts of the given question are solved below:
(a) We have,
Now,
In order to solve the given equation for y,
We will follow the following steps:
2y = 16
Now,
Dividing both sides by 2, we get:
y = 8
(b) We have,
5t + 28 = 10
Now,
In order to solve the given equation for t,
We will follow the following steps:
5t + 28 – 28 = 10 – 28
5t = - 18
Now,
Dividing both sides by 5, we get:
t =
(c) We have,
Now,
In order to solve the given equation for a,
We will follow the following steps:
Now,
Multiplying both sides by 5, we get:
Therefore,
a = -5
(d) We have,
Now,
In order to solve the given equation for q,
We will follow the following steps:
= -2
Now,
Multiplying both sides by 4, we get:
q = -8
(e) We have,
Now,
In order to solve the given equation for x,
We will follow the following steps:
Now,
Multiplying both sides by , we get:
x = -4
(f) We have,
Now,
In order to solve the given equation for x,
We will follow the following steps:
Now,
Dividing both sides by , we get:
Therefore,
x =
(g) We have,
Now,
In order to solve the given equation for m,
We will follow the following steps:
Now,
Dividing both sides by 7, we get:
m =
(h) We have,
Now,
In order to solve the given equation for z,
We will follow the following steps:
6z + 10 – 10 = -2 – 10
6z = -12
Now,
Dividing both sides by 6, we get:
Therefore,
z = -2
(i) We have,
Now,
In order to solve the given equation for t,
We will follow the following steps:
Now,
Multiplying both sides by , we get:
Therefore,t =
(j)We have,
Now,
In order to solve the given equation for y,
We will follow the following steps:
Now,
Multiplying both sides by , we get:
b = 12