Solve the given system equations

4x-3y=9

10y=2x+4

x = 3, y = 1

Step-by-step explanation:

Solve the following system:

{4 x - 3 y = 9 | (equation 1)

10 y = 2 x + 4 | (equation 2)

Express the system in standard form:

{4 x - 3 y = 9 | (equation 1)

- (2 x) + 10 y = 4 | (equation 2)

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

{4 x - 3 y = 9 | (equation 1)

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

Multiply equation 2 by 2/17:

{4 x - 3 y = 9 | (equation 1)

0 x+y = 1 | (equation 2)

Add 3 * (equation 2) to equation 1:

{4 x+0 y = 12 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3, y = 1