Q varies as e if q is 24 when e is 3 find q when e is 7

q = 56

Step-by-step explanation:

Given that q varies as e, then the equation relating them is

q = ke ← k is the constant of variation

To find k use the condition q = 24 when e = 3 , then

24 = 3k ( divide both sides by 3 )

8 = k

q = 8e ← equation of variation

When e = 7 , then

q = 8 × 7 = 56

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a