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Dmitriy789 [7]
3 years ago
14

2x-5y+7z=6 ,x-3y+4z=3,3x-8y+11z=11. using gauss jordan method that is the answer​

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Eliminate <em>x</em> by taking two equations at a time and combining them in the the right parts.

For example, taking the first two equations, we can eliminate <em>x</em> by subtracting 2 times the second equation away from the first:

(2<em>x</em> - 5<em>y</em> + 7<em>z</em>) - 2 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 6 - 2×3

(2<em>x</em> - 2<em>x</em>) + (-5<em>y</em> + 6<em>y</em>) + (7<em>z</em> - 8<em>z</em>) = 6 - 6

<em>y</em> - <em>z</em> = 0

Similarly, take 3 times the second equation from the third:

(3<em>x</em> - 8<em>y</em> + 11<em>z</em>) - 3 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 11 - 3×3

(3<em>x</em> - 3<em>x</em>) + (-8<em>y</em> + 9<em>y</em>) + (11<em>z</em> - 12<em>z</em>) = 11 - 33

<em>y</em> - <em>z</em> = -22

But these two new equations say 0 = -22, which is not true. So there is no solution to this system.

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Step-by-step explanation:

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Monica [59]

Answer:

1. 9 = x

2. y = 2

Just copy these steps on paper, then submit.

Writing it yourself will help you, trust me :)

1. 2(x + 5) = 3x + 1

2(x + 5) = 3x + 1

Distribute the 2

2x + 10 = 3x + 1

-1                    -1

2x + 9 = 3x

-2x         -2x

9 = x

2. 3y - 4 = 6 - 2y

3y - 4 = 6 - 2y

     +4    +4

3y = 10 - 2y

+2y       +2y

5y = 10

Divide both sides by 5

y = 10/5

y = 2

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3 years ago
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LenaWriter [7]

Answer: -22/65

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Read 2 more answers
Find the measure of each angle (in degrees) of
d1i1m1o1n [39]

Answer:

∠A = 88°

∠B = 92°

∠C = 88°

∠D = 92°

Step-by-step explanation:

∠A + ∠B = 180°

(2x + 4) + (3x - 34) = 180

reduce:

5x - 30 = 180

5x = 210

x = 42

∠A = 2(42) + 4 = 88°

∠B = 3(42) -34 = 92°

∠C = ∠A = 88°

∠D = ∠B = 92°

3 0
3 years ago
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