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Solnce55 [7]
3 years ago
9

3x + y = 7 4x + 2y = 16

Mathematics
2 answers:
Ronch [10]3 years ago
7 0

Answer:

X = -1, y = 11

Step-by-step explanation:

Reagange the first equation to the y=mx+b form first by subtracting both sides by 3x.

y= -3x + 7

then plug that in for y in the second equation and solve for x.

4x + 2(-3x + 7) =16

distribute the 2

4x - 6x +14 = 16

combine like terms

- 2x + 14 = 16

subtract 14 from both sides

-2x = 2

divide by -2

X= -1

now plug in x = -1 into the first equation to find y.

y= -3(-1) + 7 = 3 + 7 = 11

Brilliant_brown [7]3 years ago
3 0

Answer:

1) 3x=7-y

X=7-y/3

2) 4x=16-y

X=16-y/4

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Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

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5x + 2y ≤ 20    (2)

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From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

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Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

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