missnmclay missnmclay
  • 20-12-2019
  • Mathematics
contestada

5x + 2 = 7 y = x + 1 what is the solution set of the given system?

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zrh2sfo
zrh2sfo zrh2sfo
  • 20-12-2019

Answer:

x = 1 , y = 2

Step-by-step explanation:

Solve the following system:

{5 x + 2 = 7 | (equation 1)

y = x + 1 | (equation 2)

Express the system in standard form:

{5 x+0 y = 5 | (equation 1)

-x + y = 1 | (equation 2)

Add 1/5 × (equation 1) to equation 2:

{5 x+0 y = 5 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 5:

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

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 1 , y = 2

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