. Solve the pair of linear equations: 3x + 2y – 11 = 0, 2x – 3y + 10 = 0 , by
Substitution method
OR
Elimination method
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BY ELIMINATION METHOD______________
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Elimination method
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=> 3x + 2y = 11 -----(1)
=> 2x + 3y = 10 -----(2)
(1) and (2)
(1) × 2
=> 6x +4y = 22 ------(3)
(2) × 3
=> 6x + 9y = 30 ------(4)
(3) and (4)
(6x eliminated)
adding (3) and (4)
4y+9y = 22+30
= 13y = 52
y = 4
sub value of y in (1)
3x + 2×4 = 11
3x + 8 = 11
3x = 3
x=1
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=> 3x + 2y = 11 -----(1)
=> 2x + 3y = 10 -----(2)
(1) and (2)
(1) × 2
=> 6x +4y = 22 ------(3)
(2) × 3
=> 6x + 9y = 30 ------(4)
(3) and (4)
(6x eliminated)
adding (3) and (4)
4y+9y = 22+30
= 13y = 52
y = 4
sub value of y in (1)
3x + 2×4 = 11
3x + 8 = 11
3x = 3
x=1
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