Answer:
(5, - 2 )
Step-by-step explanation:
Given the 2 equations
9x + 5y = 35 → (1)
- 2x - 5y = 0 → (2)
Adding the 2 equations term by term will eliminate the y- term
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations for value of y
Substituting in (1) gives
9(5) + 5y = 35
45 + 5y = 35 ( subtract 45 from both sides )
5y = - 10 ( divide both sides by 5 )
y = - 2
Solution is (5, - 2 )
“ negation “ would be used
Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
Answer:
5 weeks
$175
Step-by-step explanation:
Bill owes his mother $300 and plans to pay her $25 every week.
Therefore, after w weeks he has to give her mother more C = 300 - 25w, amount of money.
Steve owes his mother $550 and plans to pay her $75 every week.
Therefore, after w weeks he has to give her mother more C = 550 - 75w, amount of money.
If after w weeks they both will owe their mother the same amount of money, then
300 - 25w = 550 - 75w
⇒ w = 5 weeks. (Answer)
Now, the amount of money will be $(300 - 25 × 5) = $175. (Answer)