Solve the system of equations - 10x+3y=5 x=y-4

{x = 1, y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 10 x = 5 | (equation 1)

{x = y - 4 | (equation 2)

Express the system in standard form:

{ - (10 x) + 3 y = 5 | (equation 1)

{x - y = - 4 | (equation 2)

Add 1/10 * (equation 1) to equation 2:

{ - (10 x) + 3 y = 5 | (equation 1)

{0 x - (7 y) / 10 = (-7) / 2 | (equation 2)

Multiply equation 2 by - 10/7:

{ - (10 x) + 3 y = 5 | (equation 1)

{0 x+y = 5 | (equation 2)

Subtract 3 * (equation 2) from equation 1:

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

{0 x+y = 5 | (equation 2)

Divide equation 1 by - 10:

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

{0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = 1, y = 5