Equation A simplifies to 0 = 0. It is always true.
Equation B simplifies to 1 = -1 for a ≠ 0. It is never true.
Equation C simplifies to 2a = 0. It is true only for a = 0.
Equation D simplifies to 2a = 0. It is only true for a = 0.
The equation that is true for all values of "a" is ...
A. Equation A
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
Problem
500 students wore blue and 300 students did not. What percent of all the students attending the game wore blue?
Result
62.5% of all the students attending the game wore blue.
Solution
We can calculate the percent of students wearing blue, after finding the total amont of students, using division and multiplication.
Let's add
500 + 300 = 800
Let's divide
800/500 = 0.625
Let's multiply
0.625 · 100 = 62.5
a(2a-3(1-a))+5(a-a^2)
distribute the inner most parenthesis
a( 2a -3+3a))+5(a-a^2)
combine like terms
a(5a-3) +5(a-a^2)
distribute both sets of parenthesis
5a^2 -3a +5a-5a^2
combine like terms
5a^2-5a^2 -3a+5a
2a
<span>Simplifying
13 = 2f + 5
Reorder the terms:
13 = 5 + 2f
Solving
13 = 5 + 2f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-2f' to each side of the equation.
13 + -2f = 5 + 2f + -2f
Combine like terms: 2f + -2f = 0
13 + -2f = 5 + 0
13 + -2f = 5
Add '-13' to each side of the equation.
13 + -13 + -2f = 5 + -13
Combine like terms: 13 + -13 = 0
0 + -2f = 5 + -13
-2f = 5 + -13
Combine like terms: 5 + -13 = -8
-2f = -8
Divide each side by '-2'.
f = 4
Simplifying
f = 4
SO, f = 4
13 = 2 </span>× 4 + 5<span>
Hope I helped:P</span>
