What is the solution to the system of linear equations?

2x + y = 5

5x+4y = 11

(3,-1)

(-5,9)

(2, - 1)

(5.-7)

(3, - 1)

x is 3

y is - 1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x = - y+5

Subtract 5 from both sides

2x-5 = - y

Multiply both sides by 4

8x-20 = - 4y

5x+4y=11

Subtract 4y from both sides

5x = - 4y+11

Subtract 11 from both sides

5x-11 = - 4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x = - y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x = - 4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22 = - 5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y = - 3

Divide both sides by 3

y = - 1