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masya89 [10]
3 years ago
5

Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y =

38. C. 4 x + 7 y = 17. 8 x minus 14 y = 36. D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34

Step-by-step explanation:

A. 2 x + 8 y = 15. 4 x + 16 y = 30.

Multiply the first equation by 2

4x+16y = 30  This is identical to the second equation so there are infinite solutions

B. 2 x - y = 18. 4 x + 2 y = 38.

Multiply the first equation by 2

4x -2y = 36.  Add to the second equation  8x = 74  so there is one solution

C. 4 x + 7 y = 17. 8 x minus 14 y = 36.

Multiply the first equation by 2

8x +14y = 34  Add this to the second equation  16x = 70   There is one solution

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.

Multiply the first equation by 2

8x - 6y = 32  Subtract this from the second equation 8x - 6y = 34

0 = 2

This is never true so there is no solution

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she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets
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Answer:

Cost of adult ticket = $12.5

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Step-by-step explanation:

Given:

Cost of 6 adult ticket and 5 child ticket = $112.5

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Find:

Equation and solution

Computation:

Assume;

Cost of adult ticket = a

Cost of child ticket = b

So,

6a + 5b = 112.5....eq1

8a + 4b = 130 ......eq2

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eq3 - eq1

4a  = 50

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8a + 4b = 130

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Cost of child ticket = $7.5

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Step-by-step explanation:

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Tell whether (1,6) is a solution of y = x + 7
andrezito [222]

Answer:

no it is not a solution.READ THE WHOLE EXPLANATION! IT WILL HELP WITH THE OTHER PROBLEMS!!!!

Step-by-step explanation:

when something like (1,6) is written consider it as (x,y). in this case, 1 is considered as x, and 6 is considered as y. if you substitute these number for x and x and y, (x =1 and y =6), you'll see that the equation will go from y=x +7, to 6=1+7. Which is not true.

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3 years ago
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