Given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 387 People

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?
3x + 4y = -8

6x - 8y = 12

9x - 12y = 24

16x + 12y = -10

Answered by maham237 @ 25/12/2020

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
y = 3/4 x - 2

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
y = 3/4 x - 2

16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6

A system of two linear equations is consistent and dependent

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A system of two linear equations in two variables is consistent but dependent if their graphs_____. a) Do not intersectb) Coincidec) cut the x-axisd) intersect at a …

Which equation can pair with x + 2y = 5 to create an inconsistent system?2x + 4y = 3 5x + 2y = 3 6x + 12y = 30 3x + 4y = 8

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One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. the graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 374 persons

Given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system?

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