Answer:
13
Step-by-step explanation:
y=5+2(4)
Let us assume the two numbers to be "x" and "y".
Then
xy = - 24
x = - (24/y)
And
x + y = 2
Putting the value of x from the first equation in the second equation, we get
x + y = 2
- (24/y) + y = 2
- 24 + y^2 = 2y
y^2 - 2y - 24 = 0
y^2 - 6y + 4y - 24 = 0
y(y - 6) + 4(y - 6) = 0
(y - 6) (y + 4) = 0
When
y - 6 = 0
y = 6
Then
x + y = 2
x + 6 = 2
x = 2 - 6
= -4
And when
y + 4 = 0
y = -4
Then
x + y = 2
x - 4 = 2
x = 2 + 4
= 6
So the two unknown numbers are -4 and 6.
Answer:
No solutions
Step-by-step explanation:
|-2x-10| + 4 = 2
Subtract 4 from each side
|-2x-10| + 4-4 = 2-4
|-2x-10| = -2
The absolute value is negative so there are no solutions.
Absolute values are always positive, so they cannot be negative.
1/2(x - 3) = 2/3(x - 8)
<em><u>Distributive property on both sides.</u></em>
0.5x - 1.5 = 0.7x -5.3
<em><u>Add 5.3 to both sides.</u></em>
0.5x + 3.8 = 0.7x
<em><u>Subtract 0.5x from both sides.</u></em>
3.8 = 0.2x
<em><u>Multiply both sides by 5.</u></em>
x = 19 (This is your answer.)
Let me know if you have any other questions. :)
7 7/8 + 5 13/16
We must have a common denominator between the 2 fractions.
8 can go into 16.
7 x 2 = 14
8 x 2 = 16
The fraction is now 14/16 rather than 7/8.
14/16 + 13/16 = 27/16 = 1 11/16
7 + 5 = 12
12 + 1 11/16 = 13 11/16.
The final sum is 13 11/16.