4x-3y+7=0 and 7x+8y+9=0 solve it by eliminating method
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Taking determinant of co-efficient of x,y and z
∣
∣
∣
∣
∣
∣
∣
∣
4
7
8
−3
−8
−6
1
10
2
∣
∣
∣
∣
∣
∣
∣
∣
R
3
→R
3
/2
∣
∣
∣
∣
∣
∣
∣
∣
4
7
4
−3
−8
−3
1
10
1
∣
∣
∣
∣
∣
∣
∣
∣
R
1
=R
3
∴ determinant is 0
∴ equation has infinite solutions.
∣
∣
∣
∣
∣
∣
∣
∣
4
7
8
−3
−8
−6
1
10
2
∣
∣
∣
∣
∣
∣
∣
∣
R
3
→R
3
/2
∣
∣
∣
∣
∣
∣
∣
∣
4
7
4
−3
−8
−3
1
10
1
∣
∣
∣
∣
∣
∣
∣
∣
R
1
=R
3
∴ determinant is 0
∴ equation has infinite solutions.
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