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

Rate this question :

Construct 3 equations starting with x = - 2.

NCERT MathematicsSolve the following equations:

(a)

(b) 5t + 28 = 10

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

NCERT MathematicsSolve 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)

NCERT MathematicsSolve the following equations:

(a) 2(x + 4) = 12

(b) 3(n – 5) = 21

(c) 3(n – 5) = -21

(d) -4(2 + x) = 8

(e) 4(2 – x) = 8

NCERT MathematicsConstruct 3 equations starting with x = 2.

NCERT Mathematics