Question

a+6d =- 39
a+10d = 5​

Answer 1

Answer:

a+6d=-39

-a-10d=- 5

-4d= -44

d = 44/4

d = 11

a+10d =5

a+ 10(11) = 5

a + 110 = 5

a = 5-110

a = -105

Hope so this helps you....

Answer 2

The value of a is -105 and d is 11.

Given: a + 6d = - 39

a + 10d = 5

To Find: The values of a and d.

Solution: a + 6d = - 39 (Equation 1)

a + 10d = 5 ( Equation 2)

Subtracting LHS and RHS of equation 1 from equation 2:

(a + 10d) - (a + 6d) = 5 - (- 39)

Now open the brackets to solve the above equation:

a + 10d - a - 6d = 5 - (- 39)

10d - 6d = 5 + 39

4d = 5 + 39

4d = 44

d = 44 / 4

d = 11

Now, substituting the value of d in equation 1:

a + 6d = - 39

a + 6 × 11 = - 39

a + 66 = - 39

Taking 66 to the right-hand side:

a = -39 - 66

a = - 105

Therefore, the values of a and d are - 105 and 11.

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