Mathematics : asked on blackkiki4352

22.01.2022

What can you determine about the solution of this system?
-64x + 96y = 176
56x - 84y = -147

13

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25.01.2022, solved by verified expert

Bhaskar Singh Bora

Mathematics, Physics. Q&A Expert

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Pair of linear equations

a1x + b1y + c1 = 0

a2x+b2y+c2=0

has

1) unique solution if a1/a2 is not equal to b1/b2

2) No solution if a1/a2 = b1/b2 is not equal to c1/c2

3) infinite many solutions if a1/a2 = b1/b2 =c1/c2

As per the given question

a1 = -64, b1=96, c1=-176

a2=56, b2= -84, c2 = 147

a1/a2 = -64/56 = -8/7

b1/b2= 96/-84 = - 8/7

c1/c2=-176/147

Here a1/a2 = b1/b2 therefore no solution exist

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