Q.1- Solve for x where y equals the number given.a) 7x - 3 + 4y = 27y

1.	Q.1- Solve for x where y equals the number given.a) 7x - 3 + 4y = 27y = 4, x= ?b) 2y + 8 + 5x = 27y = 2, x = ?c) 4(x-3) + y = 21y = 5, x = ?d) 4y + 6 (5-2x) = 6y = 3, x = ?
Answer» Answer: i) 2 ii) 3 iii) 7 iv) 3 Step-by-step explanation: a) 7x - 3 + 4y = 27 or, 7x - 3 + 4(4) = 27 or, 7x - 3 + 16 = 27 or, 7x + 13 = 27 or, 7x = 27 - 13 or, 7x = 14 Therefore, x = 2. b) 2y + 8 + 5X = 27 or, 2(2) + 8 + 5x = 27 or, 4 + 8 + 5x = 27 or, 12 + 5x = 27 or, 5x = 27 - 12 or, x = 15/5 Therefore, x = 3. c) 4(x-3) + y = 21 or, 4x - 12 + 5 = 21 or, 4x -7 = 21 or, 4x = 21 + 7 or, 4x = 28 or, x = 28/4 Therefore, x =7. d) 4y + 6 (5-2x) = 6 or, 4(3) + 30 - 12x = 6 or, 12 + 30 -6 = 12x or, 42 - 6 = 12x or, 36 = 12 x or, x = 36/12 Therefore, x = 3.

Q.1- Solve for x where y equals the number given.a) 7x - 3 + 4y = 27y = 4, x= ?b) 2y + 8 + 5x = 27y = 2, x = ?c) 4(x-3) + y = 21y = 5, x = ?d) 4y + 6 (5-2x) = 6y = 3, x = ?

Answer»

Answer:

i) 2

ii) 3

iii) 7

iv) 3

Step-by-step explanation:

a) 7x - 3 + 4y = 27

or, 7x - 3 + 4(4) = 27

or, 7x - 3 + 16 = 27

or, 7x + 13 = 27

or, 7x = 27 - 13

or, 7x = 14

Therefore, x = 2.

b) 2y + 8 + 5X = 27

or, 2(2) + 8 + 5x = 27

or, 4 + 8 + 5x = 27

or, 12 + 5x = 27

or, 5x = 27 - 12

or, x = 15/5

Therefore, x = 3.

c) 4(x-3) + y = 21

or, 4x - 12 + 5 = 21

or, 4x -7 = 21

or, 4x = 21 + 7

or, 4x = 28

or, x = 28/4

Therefore, x =7.

d) 4y + 6 (5-2x) = 6

or, 4(3) + 30 - 12x = 6

or, 12 + 30 -6 = 12x

or, 42 - 6 = 12x

or, 36 = 12 x

or, x = 36/12

Therefore, x = 3.