Question

if a+3d=9 equation 1 and a+8d=34 equation 2 What is a and d ?
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Answer 1

To find : --

• we need to find the value of a and b

Solution : --

• a + 3d = 9 .....1)
• a + 8d = 34 .....2)

• By Elimination Method

⠀

⠀⠀⠀⠀⠀⠀a + 3d = 9

⠀⠀⠀⠀⠀⠀a + 8d = 34

⠀⠀⠀⠀⠀⠀--⠀⠀--⠀⠀--⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀-5d = -25

⠀⠀⠀⠀⠀⠀⠀⠀⠀ d = 5

Substituting value of d in equation 1

⠀⠀⠀›› a + 3d = 9

⠀⠀⠀›› a + 3 × 5 = 9

⠀⠀⠀›› a + 15 = 9

⠀⠀⠀›› a = 9 - 15

⠀⠀⠀›› a = -6

Hence,

• Value of d is 5 and value of a is -6

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Answer 2

Answer:

a = -6 and b = 5

Step-by-step explanation:

→ a + 3d = 9

→ a = 9 - 3d ..................(1)

→ a + 8d = 34

→ a = 34 - 8d ................(2)

On comparing (1) & (2) we get,

→ 9 - 3d = 34 - 8d

→ 8d - 3d = 34 - 9

→ 5d = 25

→ d = 5

Substitute value of d in (1)

→ a = 9 - 3(5)

→ a = 9 - 15

→ a = -6

Hence, the value of a is -6 and b is 5.