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Question
The pair of linear equations `(3x)/2 + (5y)/3 = 7` and 9x + 10y = 14, is ______.
Options
consistent
inconsistent
consistent with one solution
consistent with many solutions
MCQ
Fill in the Blanks
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Solution
The pair of linear equations `(3x)/2 + (5y)/3 = 7` and 9x + 10y = 14, is inconsistent.
Explanation:
`(3x)/2 + (5y)/3 = 7` ...(1)
9x + 10y = 14 ...(2)
∴ `(a_1)/(a_2) = (3/2)/9`
= `3/18`
= `1/6`
∴ `(b_1)/(b_2) = (5/3)/10`
= `5/30`
= `1/6`
`(a_1)/(a_2) = (b_1)/(b_2)`
`(c_1)/(c_2) = 7/14 = 1/2`
`(a_1)/(a_2) = (b_1)/(b_2) ≠ (c_1)/(c_2)`
The given equation is inconsistent.
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