Given : x + y = 99 ------------ [1]
Given : x² - y² = 99
We know that : (x² - y²) = (x + y)(x - y)
⇒ (x + y)(x - y) = 99
⇒ 99(x - y) = 99
⇒ x - y = 1 ------------- [2]
Adding Equation [1] and [2], we get :
⇒ (x + y) + (x - y) = 99 + 1
⇒ 2x = 100
⇒ x = 50
Substituting x = 50 in Equation [1], we get :
⇒ 50 + y = 99
⇒ y = 99 - 50
⇒ y = 49
So, The Ordered pair (x , y) = (50 , 49)
Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
Answer:
The numbers are 5, 6 and 7.
Step-by-step explanation:
Let the numbers =x, x+1 and x+2.
The sum of the first and the second is 4 more than the third implies
x+x+1=x+2+4
Collecting like terms
2x-x=6-1
x=5
x+1=6
and x+2=7
Therefore, the numbers are 5,6 and 7.
By using Guess and check. Use multiple calculators to find out. Buy a quality calculator
I think you mean 0.455555, if that's the case, the fraction should be 41/90! Hope this helped! Brainliest is always appreciated.