Solve the system of linear equations by substitution.

2x-y=3

x+5y=14

x = 29/11 or y = 25/11

Step-by-step explanation:

2x - y = 3 ... equation 1

x + 5y = 14 ... equation 2

Make x the subject of the formula in equation 2

x = 14 - 5y ... equation 3

Substitute x=14 - 5y in equation 1

2 (14 - 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y = - 25

divide both sides by coefficient of y

-11y/-11 = - 25/-11

y = 25/11

Substitute y = 25/11 in equation 3

x=14 - 5 (25/11)

x = 14 - 125/11

x = 29/11