A rectangular office is divided into two identical parts using a curtain as shown in the diagram.
1 answer:
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Answer:
The x-coordinate of the solution is 3.
The ordered pair that is the solution to the system lies in Quadrant I
The y-coordinate of the solution is 4
The graph in the attached figure
Step-by-step explanation:
we have
----> equation A
----> equation B
To graph the system of equations , find the intercepts of each line
<em>Line A</em>
<em>Find the y-intercept</em> (value of y when the value of x is equal to zero)
For x=0
The y-intercept is the point is (0,8)
<em>Find the x-intercept</em> (value of x when the value of y is equal to zero)
For y=0
The x-intercept is the point is (6,0)
Plot the points (0,8) and (6,0), and connect them to graph the line A
<em>Line B</em>
<em>Find the y-intercept</em> (value of y when the value of x is equal to zero)
For x=0
The y-intercept is the point is (0,2)
<em>Find the x-intercept</em> (value of x when the value of y is equal to zero)
For y=0
The x-intercept is the point is (-3,0)
Plot the points (0,2) and (-3,0), and connect them to graph the line B
Remember that the solution of the system of equations is the intersection point both graphs
The solution of the system is the point (3,4)
The graph in the attached figure
<u><em>Verify each statement</em></u>
case 1) The x-coordinate of the solution is −3
The statement is false
Because the x-coordinate of the solution is 3
case 2) The x-coordinate of the solution is 3.
The statement is true (see the explanation)
case 3) The ordered pair that is the solution to the system lies in Quadrant I
The statement is true
Because, the x-coordinate and the y-coordinate of the solution are positive values
case 4) The y-coordinate of the solution is 4
The statement is true (see the explanation)
case 5) The ordered pair that is the solution to the system lies in Quadrant II
The statement is false
Because, the ordered pair that is the solution to the system lies in Quadrant I
case 6) The y-coordinate of the solution is 3
The statement is false
Because, the y-coordinate of the solution is 4
