Question

How many solutions does the pair equations x+y=1 and x+y=-5 have? faf Unique (c) Infinitely mony (b) No solution (d) Can't decide

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Answer 1

Answer:

⟹

giventhat

x+y=1

x+y=−5

tofind

⟹

solution

doesthispairofequationhave

comparedthegivenequationby

a

1

x+b

1

y+c

1

=0and

a

2

x+b

2

y+c

2

(where?

2

isnotsquare)weget

a

1

=1

b

1

=1andc

1

=−1

a

2

=1

b

2

=1

c

2

=5

byusing

a

2

a

1

=

b

2

b

1

isnotequalto

c

2

c

1

weget

1

1

=

1

1

isnotequalto

5

−1

thereforeithasnosolution

Answer 2

Answer:

infinitely many

Step-by-step explanation:

this is because we can substitute the values with which ever number that adds up to 5. for example x=5 and y=0 5+0=5 and so on...