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

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