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Question
On comparing the ratios `bb(a_1/a_2, b_1/b_2)` and `bb(c_1/c_2)`, find out whether the following pair of linear equations are consistent, or inconsistent.
`4/3x + 2y` = 8; 2x + 3y = 12
Sum
Solution
`4/3x + 2y = 8`
2x + 3y = 12
= `a_1/a_2 = (4/3)/2 = 2/3,`
= `b_1/b_2 = 2/3,`
= `c_1/c_2 = 8/12 = 2/3`
= `a_1/a_2 = b_1/b_2 = c_1/c_2`
The pair of linear equations is consistent.
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