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NARA [144]
2 years ago
6

Please help!!!!!!!!!!

Mathematics
2 answers:
Basile [38]2 years ago
6 0

Answer:

1-c

2-b

3-a

Step-by-step explanation:

1. 7y=14

y=2

-7y=-14

y=2

so the equation has one solution

2. 0=0

so the equation has infinite solution

3. 0=2 false

so the equation has no solution

Zanzabum2 years ago
3 0

<u>1 solution</u>

8x+7y=30

8x-7y=2

<u>infinitely many solutions</u>

-8x+7y=-2

8x-7y=2

<u>no  solution</u>

8x-7y=2

-8x+7y=2

Explanation

The number of solutions of a pair of linear equations are determined by the following criteria

1 solution

-a1/a2   \neq   b1/b2

in the first pair a1/a2=8/8=1

b1/b2=7/-7=-1

therefore a1/a2   \neq   b1/b2

infinitely many solution

a1/a2=b1/b2=c1/c2

In the second pair of equations -8x+7y+2=0 and 8x-7y-2=0

a1/a2=-8/8=-1\\b1/b2=7/-7=-1\\c1/c2=2/-2=-1

since a1/a2=b1/b2=c1/c2, the pair of equations have infinitely many solutions

no solution

a1/a2=b1/b2\neq c1/c2

in the third pair of equation

a1/a2=8/-8=-1\\b1/b2=-7/7=-1\\c1/c2=-2/-2=1

Here a1/a2=b1/b2\neq c1/c2

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