Answer:
It will take Naomi 22 hours
Step-by-step explanation:
If they work together Mark, Naomi, and Yvonne take 11 hours, which means
three people represent 3* 11 = 33 man* hours
If they work alone Yvonne will take 5 man hours, and Mark will take 6* man hours.
Now we know that together they take 33 man hours therefore we have
5+ 6+ N = 33
Where N is Naomi's man* hours. We solve for N and get:
N = 33 - 11 = 22
N = 22
Naomi will take 22 hours to finish the job if she worked alone.
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Answer:
(x, y) = (4, -4)
Step-by-step explanation:
A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).
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The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.
The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.
The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.
The point of intersection of the lines, (4, -4), is the solution to the system of equations.