Respuesta :

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Solve the following system:
{x = y + 1 | (equation 1)
{4 x - 5 y = -9 | (equation 2)

Express the system in standard form:
{x - y = 1 | (equation 1)
{4 x - 5 y = -9 | (equation 2)

Swap equation 1 with equation 2:
{4 x - 5 y = -9 | (equation 1)
{x - y = 1 | (equation 2)
Subtract 1/4 × (equation 1) from equation 2:
{4 x - 5 y = -9 | (equation 1)
{0 x+y/4 = 13/4 | (equation 2)

Multiply equation 2 by 4:
{4 x - 5 y = -9 | (equation 1)
{0 x+y = 13 | (equation 2)

Add 5 × (equation 2) to equation 1:
{4 x+0 y = 56 | (equation 1)
{0 x+y = 13 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 14 | (equation 1)
{0 x+y = 13 | (equation 2)

Collect results:
Answer: {x = 14
               {y = 13

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