Mathematics: Which of the following best describes the solution to the system of equations below? 4x + 5y = 7 8x + 10y = 14 a. the system of equations has infinitely many solutions. b. the system of equations has exactly one solution where x = 7/4 and y = 0 c. the system of equations has no solution. d. the system of equations has exactly one solution where x = 1 and y = 6/5

Which of the following best describes the solution - id2514439, infoneetusinghoyg22o

Ответ:

mettababeeeee

03.01.2022

Mathematics

OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the y-intercept.

Solve for y from each equation:

$\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.$

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

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Ответ:

dragongacha777

05.11.2021

Mathematics

By adding two hours to 6:30, you get 8:30, then add the remaining 18 minutes to get 8:48 PM.

Then for the second one, subtract 8:30 from 2:00 to get an elapsed time of 6 hours. We check this by adding 6 hours to 2:00, and we see it gets us to 8:30 PM.

:)

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