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3 years ago

9a-3d=31 -3d+1d=-1 Solve by elimination

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

a = 65/18 , d = 1/2

Step-by-step explanation by elimination:

Solve the following system:

{9 a - 3 d = 31 | (equation 1)

-2 d = -1 | (equation 2)

Multiply equation 2 by -1:

{9 a - 3 d = 31 | (equation 1)

0 a+2 d = 1 | (equation 2)

Divide equation 2 by 2:

{9 a - 3 d = 31 | (equation 1)

0 a+d = 1/2 | (equation 2)

Add 3 × (equation 2) to equation 1:

{9 a+0 d = 65/2 | (equation 1)

0 a+d = 1/2 | (equation 2)

Divide equation 1 by 9:

{a+0 d = 65/18 | (equation 1)

0 a+d = 1/2 | (equation 2)

Collect results:

Answer: {a = 65/18 , d = 1/2

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