Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line
y = 3x - 2 3x - y = 4
-y = -3x + 4
y = 3x - 4
both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
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1/2y = -x + 5 2y = -4x + 20
y = -2x + 10 y = -2x + 10
same equation.....same line...infinite solutions...EQUIVALENT
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y = -x + 4 x = -y - 6
y = -x - 6
same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
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y = 4x + 2 y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
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y = 2x + 1 y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
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-2x + 5y = 0 y = 2/5x
5y = 2x
y = 2/5x
same line....infinite solutions....EQUIVALENT
Step-by-step explanation:
since I don't have any data about the coordinates, I am simply calling them xj, yj, and xj' and yj'.
J = (xj, yj)
K = (xk, yk)
L = = (xl, yl)
a translation (shift) 2 units to the left just means, that the y coordinates regain the same, but the x coordinates are decreased ("to the left" = getting smaller) by 2.
J' = (xj - 2, yj)
K' = (xk - 2, yk)
L' = (xl - 2, yl)
Answer:
use air math it will give u full explanation
To make an expression for any amount of passengers, you need to use x for each passenger. Fill in x with the amount of passengers. Your equation is:
75 + 6x. Now using this expression, we can find the answer to all of the amounts of passengers.
75 + 6(25) = 225; 75 + 6(26) = 231; and so on. Hope that I helped! Good luck!
First you distribute the 3
(3x-12) (x+5)=0
then you set each equation equal to zero
3x-12=0 & x+5=0
then you solve for x
x =4, -5
