If the pair of linear equation is consistent
Web(A) Main Concepts and Results • Two linear equations in the same two variables are said to form a pair of linear equations in two variables. • The most general form of a pair of linear equations is a 1 x + b 1 y + c 1 = 0 a 2 x + b 2 y + c 2 = 0, where a 1, a 2, b 1, b 2, c 1,c 2 are real numbers, such that 2 2 22 ab a b11 22+ ≠ +≠0, 0. • A pair of linear … Web2 aug. 2024 · Find whether the following pair of linear equations is consistent or inconsistent: (2015) 3x + 2y = 8 6x – 4y = 9 Solution: Therefore, given pair of linear equations is con-sistent. Question 6. Check graphically whether the pair of equations 3x – 2y + 2 = 0 and x – y + 3 = 0, is consistent.
If the pair of linear equation is consistent
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Web12 nov. 2024 · Best answer If a1x + b1 y + c1 = 0 a2x + b2y + c2 = 0 is a pair of linear equations in two variables x and y such that : (i) a1 a2 a 1 a 2 ≠ ≠ b1 b2 b 1 b 2 ,then the pair of linear equations is consistent with a unique solution, i.e., they intersect at a point. Web7 apr. 2024 · Generally, system of pair of straight lines are represented by a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0. In other languages the pair of lines will coincide either or intersect at one point, then the pair of lines will be consistent. Otherwise, they will be considered as consistent.
Web4 jun. 2024 · If a pair of linear equations in two variables is consistent, then the lines represented by two equations are (a) intersecting (b) parallel (c) always coincident (d) intersecting or coincident Solution: (d) The system of equation is coincident The line of there equations are intersecting or coincident Question 12. WebIf a pair of linear equations is consistent, then the lines are intersecting or coincident i.e they will have at least one solution or infinitely many solutions. Enhance your math …
WebHence the given pair of linear equations are intersecting at one point. Hence given pair of linear equations is consistent Let as plot the graph of given equations In equation 3x … WebAnswer: Consistent=lines intersect at point which represents the unique solution of the system of linear equations in two variables. Algebraically, if then, the linear equations’ …
WebA consistent system of equations is a system of equations with at least one solution. An inconsistent system of equations is a system of equations with no solution. We also categorize the equations in a system of equations by calling the equations independent or dependent. If two equations are independent, they each have their own set of solutions.
WebIf a pair of linear equations is consistent, then the lines will be a. parallel b. always coincident c. intersecting or coincident d. always intersecting. 252+ Math Tutors. 9.1/10 … contator 3tf45Web22 jun. 2024 · Answer: Step-by-step explanation: First, we convert both equations into standard form. Which is, eq. (i) :- x-2y-6=0 and eq. (ii) :- 3x-6y+0=0 now we compare the coeffecients. a1/a2= 1/3 b1/b2=1/3 c1/c2=-6/0 which is not defined. This shows that, a1/a2= b1/b2 ≠ c1/c2 Which is an inconsistent equation Advertisement effects of hard water on hairWeb(A) Main Concepts and Results • Two linear equations in the same two variables are said to form a pair of linear equations in two variables. • The most general form of a pair of … effects of hate crimesWeb8 apr. 2024 · Hence, a system will be consistent if the system of equations has an infinite number of solutions. For example, consider the following equations. y = x + 3 5y = 5x + 15 If we multiply 5 to equation 1, we will achieve equation 2 and by dividing equation 2 with 5, we will get the exact first equation. Infinite Solutions Example contator 3ts34Web26 jun. 2024 · If a pair of linear equations is consistent, then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident. linear … contator aux wegWebIn such a case, the pair of linear equations is said to be dependent and consistent. As represented in the graph below, the pair of lines coincide and, therefore, dependent and … effects of hard water on environmentWebIf a pair of linear equations is consistent then graph lines will be intersecting or coincident. Get the best Homework key If you're struggling with math, don't give up! There are plenty … contator 3tf43