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Greeley [361]
3 years ago
11

A system of two equations includes the equation y = 2x + 8 If the system has no solutions, which of the following can be the oth

er equation of the system?
A. y= 1/2x + 8
B. y= 1/2x - 8
c.y= 2x - 6
Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
Answer:C
the answer would be C because there would be no answer.
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5x + 7y = 17<br> x + 4y = 19
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<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

<u>From equation 2</u>

x + 4y = 19

x = 19 - 4y

<u>Putting the value of x in Equation (1)</u>

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = \frac{78}{13}

y = 6

<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

<u>Therefore, the value of y is 6 and value of x is -5</u>

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Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).

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Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.

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Step-by-step explanation:

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