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Nikitich [7]
3 years ago
11

Graph the equation to solve the system y= -1/2x +3 y= -1/3x +4

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

the solution is (-6, 6)

Step-by-step explanation:

This system, y= -1/2x +3 y= -1/3x +4, can be quickly solved for x by letting y = y:

y= -1/2x +3    =   y= -1/3x +4.  Then -1/2x + 3 = -1/3x +4.  The fractional coefficients should be enclosed inside parentheses:

(-1/2)x + 3 = (-1/3)x +4

Let's remove the fractional coefficients.  The LCD is (2)(3) = 6.  Multiply all four terms by 6, obtaining:

-3x + 18 = -2x + 24

Combining like terms, we get -6 = x.  

Find y:  substitute -6 for x in either of the given equations:

y= (-1/2)(-6) +3  =  3 + 3 = 6.  So y = 6 when x = -6, and the solution is (-6, 6).

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3 years ago
The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room
m_a_m_a [10]
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
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Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
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Step-by-step explanation:

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