WebFor the following linear programming problem, determine the optimal solution by the graphical solution method Max −X + 2Y s.t. 6X − 2Y ≤ 3 −2X + 3Y ≤ 6 X + Y ≤ 3 X, Y ≥ 0 ANSWER: X = 0.6 and Y = 2.4 POINTS: 1 TOPICS: Graphical solution WebDec 26, 2024 · We have, 4x – 3y = 9 and 2x + ky = 11. Ques: Comment on the consistency of the given pair of linear equations: 3x + 2y = 8, 5x – 4y = 9 Ans. 3/6 ≠ 2/ -4. a1 /a2 ≠ b1/ b2. Thus, the pair of linear equations is consistent. Read More: Substitution method. Ques: Draw the graph of 2y = 4x – 6; 2x = y + 3 and then determine if this system ...
Given the linear equation 2x+3y-8=0, write another linear …
WebGiven the linear equation 2x + 3y 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) Intersecting lines (ii) … WebStep 1: Step 2: Step 3: Step 4: Image transcriptions The given system of linear equations are, 5x +y + 72 = 9 8x - 24 - Z =3 21 - 4y - 27 =-7 The augmented matrix is , 7 9 8 3 -4 - 2 The given system of equations are, x- y + 12 2 = 9 y - 62 =-6 2 = 3 The Augmented matrixe is, 12: - 6 The given Augmented matrix is , 3 - 13 - 7 14 7 A Then , the system of linear … dishes to make for christmas
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WebJul 27, 2024 · A pair of linear equations, which has infinite many distinct common solutions are said to be a consistent pair or dependent pair of linear equations. Condition 3: Parallel Lines If a 1/ a 2 = b 1/ b 2 ≠ c 1 / c 2 , then a pair of linear equations has no solution. A pair of linear equations which has no solution is said to be an inconsistent ... WebExample: y = 2x + 1 is a linear equation: The graph of y = 2x+1 is a straight line . When x increases, y increases twice as fast, so we need 2x; When x is 0, y is already 1. So +1 is also needed; And so: y = 2x + 1; Here are some example values: WebMar 28, 2024 · Transcript. Ex 3.2, 6 Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines … dishes to make for a potluck