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Elena L [17]
3 years ago
5

Solve the system of equations by elimination: −5x+y+5z=27 5x+5y−4z=−12 −6y−z=−16

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

no asnwer

Step-by-step explanation:

first step:

-5x+y+5z=27

+ 5x+5y-4z=-12

which is

6y+z=15

add -6y-z=-16

which will be 0=-1

this means that there is no answer and that the statement is false.

hope this helped!

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
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Answer:

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Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

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AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

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2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

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Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

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Step-by-step explanation:


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musickatia [10]
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Answer:

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Step-by-step explanation:

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