Question

Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)

Answer 1

Answer:

x=10, y=-1

(10,-1)

Step-by-step explanation:

x-y=11

2x+y=19

Add these two equations together to eliminate y

x-y=11

2x+y=19

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3x = 30

Divide each side by 3

3x/3 = 30/3

x = 10

Now we need to find y

2x+y = 19

2(10) +y = 19

20+y =19

Subtract 20 from each side

20-20 +y = 19-20

y= -1

Answer 2

Answer:

B.(10,-1)

Step-by-step explanation:

10-(-1)=11

2(10)+(-1)=19

20+(-1)=19