Yesss ur answer is correct
Answer:
A) p = 6
Step-by-step explanation:
Given equation:
3(p - 5) = 5p -27
<u />
Apply the <u>Distributive Property of Multiplication over subtraction law</u>:
⇒ 3 · p - 3 · 5 = 5p - 27
⇒ 3p - 15 = 5p - 27
Add 27 to both sides:
⇒ 3p - 15 + 27 = 5p - 27 + 27
⇒ 3p + 12 = 5p
Subtract 3p from both sides:
⇒ 3p - 3p + 12 = 5p - 3p
⇒ 12 = 2p
⇒ 2p = 12
Divide both sides by 2:
⇒ 2p ÷ 2 = 12 ÷ 2
⇒ p = 6
Answer:
20 mangoes.
Step-by-step explanation:
Given:
Total number of mangoes, a trader bought = 
A trader bought at the rate of 4 mangoes for 10 naira.
Five of the mangoes were bad.
He sold the remaining at the rate of 5 mangoes for 20 naira.
He made a gain of 10 naira
Question asked:
Total number of mangoes, a trader bought = = ?
Solution:
Unitary method
Cost price of 4 mangoes = 10 naira.
Cost price of 1 mango = 
Cost price of mango = 
As 5 of the mangoes were bad and he sold the remaining mangoes, then Total number of mangoes sold = 
Sale price of 5 mangoes = 20 naira
Sale price of 1 mango = 
Sale price of mango = 
Now, as we know,
Adding both sides by 20
Multiplying both sides by 2
Dividing both sides by 3
Therefore, total number of mangoes, a trader bought is 20.
Solve the following system:
{y = x - 1 | (equation 1)
{2 x - y = 0 | (equation 2)
Express the system in standard form:
{-x + y = -1 | (equation 1)
{2 x - y = 0 | (equation 2)
Swap equation 1 with equation 2:
{2 x - y = 0 | (equation 1)
{-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - y = 0 | (equation 1)
{0 x+y/2 = -1 | (equation 2)
Multiply equation 2 by 2:
{2 x - y = 0 | (equation 1)
{0 x+y = -2 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = -2 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = -1 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -1
{y = -2
