Question

Are the following pair of linear equations consistent? Justify your answer.
2x - y = 6; x+3y-8=0​

Answer 1

$Equation_1$ = 2x - y = 6 ⇒2x - y - 6 = 0

→ $a_1$= 2, $b_1$= -1, $c_1$= -6

$Equation_2$ = x + 3y - 8 = 0

→ $a_2$= 1, $b_2$= 3, $c_2$= -8

⇒$\frac{a_1}{a_2}$= $\frac{2}{1}$= 2

⇒$\frac{b_1}{b_2}$= $\frac{-1}{3}$

⇒ 2 ≠ $\frac{-1}{3}$

∴The 2 equations are consistent as $\frac{a_1}{a_2}$ ≠ $\frac{b_1}{b_2}$

Hope this helped...if it did, please mark this answer as the Brainliest!!!