WebOn comparing the ratios of the coefficients of the following pairs of linear equations, we see that (i) x + y = 5, 2x + 2y = 10 have infinitely many solutions. Hence, they are consistent. (ii) x - y = 8, 3x - 3y =16 are parallel and have no solution.Hence, the pair of … WebShow graphically that each one of the following systems of equations is inconsistent (i.e. has no solution): 2y−x=9, 6y−3x=21
Are these equations inconsistent, consistent, independent or ... - Wyzant
Web2y = -4x + 16 y = -2x + 8 Aha! This looks suspicious! We have THE SAME EQUATION TWICE! So this system is dependant and consistent. But that's great for this example, can we make a general rule? Sure can! If the coefficients (the 'm's) … WebFree math problem solver answers your algebra homework questions with step-by-step explanations. churchill gloves company
State whether each system is consistent and independent
WebAlgebraically, for such a case, a 1 /a 2 = b 1 /b 2 ≠ c 1 /c 2, and the pair of linear equations in two variables is said to be inconsistent. As shown in the graph above, the pair of lines a 1 … WebThe system of linear equations: 3 x - 2 y - k z = 10, 2 x - 4 y - 2 z = 6 and x + 2 y - z = 5 m is inconsistent if: A k = 3, m = 4 5 B k ≠ 3, m ∈ ℝ C k ≠ 3, m ≠ 4 5 D k = 3, m ≠ 4 5 Solution The correct option is D k = 3, m ≠ 4 5 Explanation for the correct option: Given equations are 3 x - 2 y - k z = 10, 2 x - 4 y - 2 z = 6 and x + 2 y - z = 5 m. WebOct 18, 2024 · inconsistent. y=3x-1 is the same as 2y=6x-2, but that's inconsistent with 2y-6x+4 which could be rewritten as 2y=6x+4. 2y=6x+4 and 2y=6x-2 are inconsistent. subtract one from the other and you get 0=6 which is false. the 2 equations can never both be true. consistent. They're the same equation. multiply the first by 2 and you get the 2nd. churchill glow-worm