Answer:
10
Step-by-step explanation:
10/4 = 2.5(fraction)
12/4 = 3
8/4 = 2
24/4 = 6
4. 1st option
5. 2nd option
The elimination method works by adding the two equations and eliminating one variable. Then you solve an equation in one variable. Finally, you use substitution or elimination again to find the other variable. Sometimes, by simply adding the equations, a variable is not eliminated. Then you need to multiply one or both equations by a factor to get a variable to be eliminated.
A)
2x - 4y = 8
x + 3y = -11
Adding the equations does not eliminate x or y.
Notice that in the first equation, every coefficient is even. We can divide both sides of the first equation by 2. Then the first term would be x. Instead, let's divide both sides of the first equation by -2. Then the x's will be eliminated.
-x + 2y = -4 <-- The first equation divided by -2
x + 3y = -11 <-- The original second equation. Now we add the equations.
----------------
5y = -15
y = -3
Now that we know y = -3, we substitute it into the first original equation and solve for x.
2x - 4y = 8
2x - 4(-3) = 8
2x + 12 = 8
2x = -4
x = -2
Answer: x = -2; y = -3
B)
We see that the x's will be eliminated by addition. Just add the equations.
-3x + 7y = 9
3x - 7y = 1
---------------
0 + 0 = 10
0 = 10 <---- this is a false statement, so this system of equations has no solution.
Answer:
47.84%
Step-by-step explanation:
The easiest method to solve this exercise is to assume that the starting diesel price is 100 reais.
Now we will calculate each increase with our assumption:
1. Initial price plus 10% increase, therefore:
100 + 100 * 0.1 = 110 reais
2. Additional 20% increase in relation to 110 reais:
110 + 110 * 0.2 = 132 reais
3. Additional 12% increase in relation to 132 reais:
132 + 132 * 0.12 = 147.84 reais.
What it means is that the price would be 147.84 reais.
Since our assumption is 100, we can know that there was an increase of almost 47.84% in relation to the initial price that we assumed at the beginning.
To find the reciprocal of a number or fraction, just flip the numerator and denominator. Whole numbers are always over 1.
2 =
The reciprocal of
or .5 (one-half)
The reciprocal of
