Mathematics, 22.09.2020 14:01 cyberdac01

Please help, Solve Systems of Linear Equations

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Answer from: arissahyp73x7x

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system:

{3 x + 2 y - z = 8 | (equation 1)

2 z + 2 x = -4 | (equation 2)

3 y + x = 4 | (equation 3)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Multiply equation 2 by 3/4:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+7 y + z = 4 | (equation 3)

Swap equation 2 with equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x - y + 2 z = -7 | (equation 3)

Add 1/7 × (equation 2) to equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+(15 z)/7 = -45/7 | (equation 3)

Multiply equation 3 by 7/15:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract equation 3 from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y+0 z = 7 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 7:

{3 x + 2 y - z = 8 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y - z = 6 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 3 to equation 1:

{3 x+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

{x = 1 , y = 1 , z = -3

Answer from: Quest

vbbv

step-by-step explanation:

Answer from: Quest

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

Which rule describes the composition of transformations that map ∆def to ∆d"e"f"? (look at picture)<

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