check whether the following equations are consistent or inconsistent .solve the. graphically. 2×+y-5=0
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Sol: Given equations are 3x - 2y = 5,2x - 3y = 7. The pair of linear equations a1x + b1y + c1 = 0, a2x + b2y + c2 = 0. Here a1= 3, b1 = -2 c1 = -5, a2 = 2 ,b2 = -3 , c2 = -7. If a1a2a1a2 ≠ b1b2b1b2 pair of linear equations a1x + b1y + c1 = 0, a2x + b2y + c2 = 0 has a unique solution then it is consistent. ⇒ 3/ 2 ≠ -2 / -3 ⇒ 3 / 2 ≠ 2 / 3 ∴ pair of linear equations are consistent.
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