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liraira [26]
3 years ago
7

Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to e

liminate the x-terms, by which number should the first equation be multiplied? –2 Negative one-half One-half 2
Mathematics
2 answers:
Olegator [25]3 years ago
8 0
  • Answer:

<em><u>Solve the following system:</u></em>

<u><em>5 x + 10 y = 15 | (equation 1)</em></u>

<u><em>10 x + 3 y = 13 | (equation 2)</em></u>

<u><em>Swap equation 1 with equation 2:</em></u>

<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>

<u><em>5 x + 10 y = 15 | (equation 2)</em></u>

<u><em>Subtract 1/2 × (equation 1) from equation 2:</em></u>

<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>

<u><em>0 x+(17 y)/2 = 17/2 | (equation 2)</em></u>

<u><em>Multiply equation 2 by 2/17:</em></u>

<u><em>{10 x + 3 y = 13 | (equation 1)</em></u>

<u><em>0 x+y = 1 | (equation 2)</em></u>

<u><em>Subtract 3 × (equation 2) from equation 1:</em></u>

<u><em>{10 x+0 y = 10 | (equation 1)</em></u>

<u><em>0 x+y = 1 | (equation 2)</em></u>

<u><em>Divide equation 1 by 10:</em></u>

<u><em>{x+0 y = 1 | (equation 1)</em></u>

<u><em>0 x+y = 1 | (equation 2){</em></u>

  • <em>Collect results:</em>

<h2><em><u>Answer: x = 1/2</u></em></h2>
xxTIMURxx [149]3 years ago
6 0

Answer:

Solve the following system:

{5 x + 10 y = 15 | (equation 1)

10 x + 3 y = 13 | (equation 2)

Swap equation 1 with equation 2:

{10 x + 3 y = 13 | (equation 1)

5 x + 10 y = 15 | (equation 2)

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

{10 x + 3 y = 13 | (equation 1)

0 x+(17 y)/2 = 17/2 | (equation 2)

Multiply equation 2 by 2/17:

{10 x + 3 y = 13 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{10 x+0 y = 10 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 10:

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

0 x+y = 1 | (equation 2)

Collect results:

Answer: x = 1, y = 1

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