Question

DONT DO PART C you do not need to do that one i only need help on A and B please.

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x - y = 5 → (1)

4x + y = - 10 → (2)

Rearrange (1) expressing y in terms of x

(a)

y = x - 5 → (3)

Substitute y = x - 5 into (2)

4x + x - 5 = - 10

5x - 5 = - 10 ( add 5 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into (3) for corresponding value of y

y = - 1 - 5 = - 6

(b)

As a check

Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution

(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True

(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True

Thus solution is (- 1, - 6 )