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3 years ago

Solving for x and y in a linear equation (x,y) -11x-10y=17 5x-7y=50

Mathematics

2 answers:

Elena-2011 [213]3 years ago

5 0

Top one
y=-1.7+11y
x=-1.55+10y
Bottom one
y=-7.14-5x

Ann [662]3 years ago

5 0

The best way to do this equation would be subtraction
-11x-10y=17
5x-7y=50
multiply the top equation by -7 and the bottom equation by 10
77x+70y=-119
50x-70y=500
The y cancels out
127x=381
x=3
plug y back into the original equation
-11(3)-10y=17
-33-10y=17
-10y=50
y=-5
(3,-5)

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Which of the following rational number between 3/7 and 7/8 ?

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Step-by-step explanation:

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Read 2 more answers

Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. T

prisoha [69]

Answer:

Hence, (75,40) is the maximum point and maximum profit is $192.5

Step-by-step explanation:

Let the breakfast be x

And let the lunch or afternoon be y

Inequalities will become

$\frac{1}{3}x+\frac{1}{2}y\leq 45$

$\frac{2}{3}x+\frac{1}{2}y\leq 70$

And objective function will be

Z=1.5x+2.0y

You can see the graph in the attachement

ABCD is the feasible region

Points of feasible region is (0,90) ,(0,0) ,(75,40) and(105,0)

We have to find Z by substituting the points of feasible region

At (0,90) we get

Z=1.5(0)+2(90)

Z=180

At (0,0)

Z=1.5(0)+2(0)

Z=0

At (75,40)

Z=1.5(75)+2(40)

Z=192.5

At (105,0)

Z=1.5(105)+2(0)

Z=157.5

The maximum number we are getting is 192.5 which is at (75,40)

Hence, (75,40) is the point of maximum

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