In a machine, a particular gear completes a
rotation in 6 seconds. Another gear completes a
r...
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Mathematics, 12.02.2021 07:30 clipsyden
In a machine, a particular gear completes a
rotation in 6 seconds. Another gear completes a
rotation in 9 seconds. At a certain instant, both
gears complete their rotations at exactly the same
time. How many seconds will elapse before the
two gears complete their rotations at exactly the
same time again?
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Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.
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