Question

Q.1- Solve for x where y equals the number given.

a) 7x - 3 + 4y = 27
y = 4, x= ?

b) 2y + 8 + 5x = 27
y = 2, x = ?

c) 4(x-3) + y = 21
y = 5, x = ?

d) 4y + 6 (5-2x) = 6
y = 3, x = ?​

Answer 1

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.