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Leviafan [203]
3 years ago
14

 Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find

all solutions whenever they exist.
X + 3y = 9
 

3x –y =  7
Mathematics
1 answer:
Blababa [14]3 years ago
4 0
After\ adding\ equations\ and\ simplifying:\\\\One\ solution:\\\\x=number\\ example: x=2\\\\ infinitely\ many\ solutions:\\\\ Left\ side=\ Right\ side\\ example:\\ 2=2\\\\ No\ solutions:\\\\2 \neq 5\left \{ {{x+3y=9} \atop {3x-y=7}\ \ |*3} \right.\\\\ \left \{ {{x+3y=9} \atop {9x-3y=21}} \right.\\+--------\\\\Addition\ method:\\\\10x=30\ \ |:10 \\\\x=3\\\\x+3y=9\\\\3y =9-x=9-3=6\\\\y=2\\\\ \left \{ {{y=2} \atop {x=3}} \right.
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The ticket sales for Fist Bump are as follows:
Fed [463]
Notice that the denominators are 3 and 7, which are factors of 21.

So express all the fractions with denominator 21:

On Monday \frac{1}{7} = \frac{1}{7} * \frac{3}{3} = \frac{3}{21} are sold
On Tuesday \frac{1}{3} = \frac{1}{3} * \frac{7}{7} = \frac{7}{21} are sold
On Wednesday \frac{2}{7} = \frac{2}{7} * \frac{3}{3} = \frac{6}{21} are sold


by Thursday \frac{3}{21}+\frac{7}{21}+\frac{6}{21} = \frac{3+7+6}{21}= \frac{16}{21} of the tickets was sold.


Answer: \frac{16}{21}

8 0
3 years ago
If sin 115° ≈ 0.91 and cos 115° = -0.42, then sin -115° =
EastWind [94]

Answer:

sin -115° = -0.91

Step-by-step explanation:

Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).

As for point B which was revolved around -115°,

the coordinates will be similar to point A but you just have to change the negative.

B(cos -115°, sin -115°) = B(0.42, -0.91)

3 0
3 years ago
Solve for x<br> y=7x−7z−9
juin [17]

y=7x−7z−9

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5 0
3 years ago
A store in Ashland purchased a cat calendar at a cost of $1.30 and marked it up 100%. Later on, Fernando bought the cat calendar
Arada [10]

Answer:

$2.99

Step-by-step explanation:

Given that:

Purchase price of cat calendar = $1.30

Markup = 100%

Hence, price at which the cat calendar was sold :

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$1.30 + $1.30 = $2.60

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Amount paid as sales. tax _

15% * 2.60 = $0.39

Total amount paid :

$2.60 + 0.39 = $2.99

7 0
3 years ago
Please help basic Algebra.
Tasya [4]

Susanne will be x because both people use her as a comparsion. Bob's expression would be 4x, and Dakota's expression would be x - 3. If Dakota's and Bob's age sum is 93 then form the equation 4x + x - 3 = 93 to find Susanne's age. I'll do the steps below.

4x + x - 3 = 93

5x - 3 = 93

5x = 96

x = 19.2  

8 0
3 years ago
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