SOLUTION: Graph the inequalities of 9x+8y<72 and -7x-4y<=28 to find their solution set. Also find there point of intersection from shading

Algebra ->  Graphs -> SOLUTION: Graph the inequalities of 9x+8y<72 and -7x-4y<=28 to find their solution set. Also find there point of intersection from shading       Log On


   



Question 937344: Graph the inequalities of 9x+8y<72 and -7x-4y<=28 to find their solution set. Also find there point of intersection from shading
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
point of intersection:
9x+8y=72
-7x-4y=28
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put the system of linear equations into standard form
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9x+8y=72
-7x-4y=28
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = -25.6
y = 37.8
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as for graphing:
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line A:
9x + 8y < 72
8y < -9x + 72
y < (-9/8)x + 9
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line B:
-7x - 4y <= 28
-4y <= 7x + 28
y >= -7/4x - 7
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both lines have negative slope but line B has steeper negative slope, and is below line A to the right of the point of intersection
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the solution set is line B including the point of intersection, and the space to the right of the point of intersection and between both lines but not including line A
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