#### Answer

x = 3
y = -1

#### Work Step by Step

4x + y = 11
2x + 5y = 1
to the first equation minus 4x to both sides
4x + y - 4x = 11 - 4x
y = 11 - 4x
substitude y = 11 - 4x to the second equation
2x + 5 ( 11 - 4x ) = 1
2x + 55 - 20x = 1 use the distributive property
- 18x + 55 = 1
- 18x + 55 - 55 = 1 - 55 minus 55 to both sides
- 18x = - 54 divide both sides by - 18
x = 3
substitude x = 3 to the y = 11 - 4x
y = 11 - $4\times 3$
y = 11 - 12
y = -1