Q. 14.1( 108 Votes )

Solve the following equations:
(a)
(b) 5t + 28 = 10
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)

Answer :

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

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