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babymother [125]
3 years ago
5

How many solutions do the systems of equations have? y =-1/3 x + 9 y =- 2/6x

Mathematics
1 answer:
Dovator [93]3 years ago
7 0
The answer is: No solution.

Explanation:
The slopes are the same (-1/3 is the same as -2/6 because -2/6 can be simplified to -1/3) but the y intercepts are different.
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Please Help! Will Mark Brainliest
Gennadij [26K]

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio on right triangle KJL

and the exact value sin30° = \frac{1}{2}

sin30° = \frac{opposite}{hypotenuse} = \frac{JL}{KL} = \frac{JL}{8\sqrt{2} } = \frac{1}{2} ( cross- multiply )

2JL = 8\sqrt{2} ( divide both sides by 2 )

JL = 4\sqrt{2}

---------------------------------------------------------

Using the sine ratio in right triangle JLM

and the exact value sin45° = \frac{1}{\sqrt{2} }

sin45° = \frac{opposite}{hypotenude} = \frac{LM}{JL} = \frac{x}{4\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

x × \sqrt{2} = 4\sqrt{2} ( divide both sides by \sqrt{2}

x = 4

8 0
3 years ago
please help!! Drag each pair of equations to show whether the system has no solution, one solution, or infinitely many solutions
Vanyuwa [196]

For the given system of equations, considering different systems are split by ;, we have that:

  • No solutions: 3y = x + 2, 9y = 3x + 7; y = 2x + 3, y = 2x + 5
  • One solution: 2y = 3x, -5y = -10x,; x = 6, y = 9.
  • Infinitely many solutions: y = 5x + 2, 3y = 15x + 6.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

It's equations can be written in the format:

Ax = b

Using the above format, we have that:

  • If A is different from zero, the system has one solution.
  • If A is zero and B is different of zero, the system has no solutions.
  • If both are zero, the system has infinite solutions.

At the first system, multiplying the first equation by -3 and adding with the second, we end up with:

0y = 0x + 2

0 = -2

Which is a false statement, hence it has no solutions.

At the second system, the equations are multiples, hence it has infinite solutions.

At the third system, the coefficients are not zero and are not multiples, and it has one solution.

In the fourth system, the one solution is already given.

At the fifth system, we have that:

2x + 3 = 2x + 5

0x = 2

Hence no solutions.

To learn more about system of equations, you can take a look at brainly.com/question/24342899

5 0
2 years ago
Help pls <br> what is the slope intercept of (3,5) and (2,1)
Montano1993 [528]
M=1-5/2-3=-4/-1=4
M=4
(3,5)
5=2(3)+b
5=6+b
b=-1
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Two companies working together can clear a parcel of land in 7 hours. working alone, it would take company a 4 hours longer to c
I am Lyosha [343]
The answer is B b/c i did the math
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3 years ago
The wire is
Mnenie [13.5K]

Step-by-step explanation:

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