Answer:
Below
Step-by-step explanation:
1. 2 (x+3) +3 (5-x)=
Simplifying
2(x + 3) + 3(5 + -1x) = 0
Reorder the terms:
2(3 + x) + 3(5 + -1x) = 0
(3 * 2 + x * 2) + 3(5 + -1x) = 0
(6 + 2x) + 3(5 + -1x) = 0
6 + 2x + (5 * 3 + -1x * 3) = 0
6 + 2x + (15 + -3x) = 0
Reorder the terms:
6 + 15 + 2x + -3x = 0
Combine like terms: 6 + 15 = 21
21 + 2x + -3x = 0
Combine like terms: 2x + -3x = -1x
21 + -1x = 0
Solving
21 + -1x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21
Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21
Combine like terms: 0 + -21 = -21
-1x = -21
Divide each side by '-1'.
x = 21
Simplifying
x = 21
2. 3 (y+2) -4y=-24y
Simplifying
3(y + 2) + -4y = -24y
Reorder the terms:
3(2 + y) + -4y = -24y
(2 * 3 + y * 3) + -4y = -24y
(6 + 3y) + -4y = -24y
Combine like terms: 3y + -4y = -1y
6 + -1y = -24y
Solving
6 + -1y = -24y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '24y' to each side of the equation.
6 + -1y + 24y = -24y + 24y
Combine like terms: -1y + 24y = 23y
6 + 23y = -24y + 24y
Combine like terms: -24y + 24y = 0
6 + 23y = 0
Add '-6' to each side of the equation.
6 + -6 + 23y = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 23y = 0 + -6
23y = 0 + -6
Combine like terms: 0 + -6 = -6
23y = -6
Divide each side by '23'.
y = -0.2608695652
Simplifying
y = -0.2608695652
3. -(x+2) -2(1-x)=
Simplifying
-1(x + 2) + -2(1 + -1x) = 0
Reorder the terms:
-1(2 + x) + -2(1 + -1x) = 0
(2 * -1 + x * -1) + -2(1 + -1x) = 0
(-2 + -1x) + -2(1 + -1x) = 0
-2 + -1x + (1 * -2 + -1x * -2) = 0
-2 + -1x + (-2 + 2x) = 0
Reorder the terms:
-2 + -2 + -1x + 2x = 0
Combine like terms: -2 + -2 = -4
-4 + -1x + 2x = 0
Combine like terms: -1x + 2x = 1x
-4 + 1x = 0
Solving
-4 + 1x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 1x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 1x = 0 + 4
1x = 0 + 4
Combine like terms: 0 + 4 = 4
1x = 4
Divide each side by '1'.
x = 4
Simplifying
x = 4
4. whats ? is the equation
.
and 
are mutually exclusive, then 
, so 
. If the given probability is 
, then you can find 
. But if this given probability is for the intersection, finding 
.