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pychu [463]
3 years ago
5

Heather writes the equations below to represent two lines drawn on the coordinate plane. –6x + 18y = 0 4x – 12y = 20 After apply

ing the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations? The equation has no solution; therefore, the system of equations has no solution. The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60). The equation has infinite solutions; therefore, the system of equation as infinite solutions. The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
Mathematics
2 answers:
dedylja [7]3 years ago
6 0

Answer:

The equation has no solution; therefore, the system of equations has no solution

Step-by-step explanation:

we have

-6x+18y=0 -----> equation A

4x-12y=20 -----> equation B

we know that

If after applying the linear combination method, Heather arrived at the equation 0 = 60

then

The reason is because both lines are parallel, therefore the system of equations has no solutions

<u>Verify</u>

isolate the variable y in the equation A

18y=6x

y=(1/3)x --------> the slope is 1/3

isolate the variable y in the equation B

12y=4x-20

y=(1/3)x-(20/12)

y=(1/3)x-(5/3) --------> the slope is 1/3

Remember that

If the slopes are equal the lines are parallel

so

The system of equations has no solutions

schepotkina [342]3 years ago
3 0

Answer:

The equation has no solution; therefore, the system of equations has no solution.

Step-by-step explanation:

A on edg

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Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

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The book and the pen cost $14:

B + P = $14 } Equation 1  

We also know:  

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Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

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B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2  

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

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