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3 years ago

X =4 x+y=-6 4x - 3y + 2z = 26

Mathematics

1 answer:

slega [8]3 years ago

6 0

Answer:

x = 4 ,y = -10 , z = -10

Step-by-step explanation:

Solve the following system:

{y + 4 = -6 | (equation 1)

16 - 3 y + 2 z = 26 | (equation 2)

Express the system in standard form:

{y+0 z = -10 | (equation 1)

-(3 y) + 2 z = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

y+0 z = -10 | (equation 2)

Add 1/3 × (equation 1) to equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+(2 z)/3 = (-20)/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+z = -10 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{-(3 y)+0 z = 30 | (equation 1)

0 y+z = -10 | (equation 2)

Divide equation 1 by -3:

{y+0 z = -10 | (equation 1)

0 y+z = -10 | (equation 2)

Collect results:

Answer: y = -10 , z = -10

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