Your Answer Is approximately 0.143
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 66: 1, 2, 3 ,6, 11, 22, 66
GCF: 6
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.
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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
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0 + 0 = 10
0 = 10 <---- this is a false statement, so this system of equations has no solution.
Answer: Sample is biased
Step-by-step explanation:
In her experiment, Gloria assumes that the reading habits of the students in her school district are exactly the same to that of students in all state schools. This assumption is unlikely to be true and, therefore, this statistic is misleading because the sample used is biased.
From her data, all Gloria can do is report the percentage of students that read more than one book per month in her school district
Step-by-step explanation:
