Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
Answer:
All of the above.
Step-by-step explanation:
The way to calculate velocity is d/t, the displacement over time of travel. Hence, both of those are needed.
Finally, velocity also needs to know your direction, like 5 m/s East for example. Hence, all of the above are needed.
Hope this helped!
The answer is 1.22. Are you not allowed to use a calculator or you need a full solution?
If he pays with a £5 note and gets 30p change, that means the total cost was £4.70
All the items prices have to add up to £4.70
£1.18 + 94p = £2.12 so the two jars of jam together must cost £2.58 (£4.70 - £2.12).
If two jars cost £2.58 then one jar must cost half of that: £1.29
One jar = £1.29