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What are the solutions to the simultaneous equations of 7x plus 4y equals 9 and 2x plus 3y equals 1 in step by step stages?
Equations: 7x+4y = 9 and 2x+3y = 1
Multiply all terms in the 1st equation by 2 and all terms in the 2nd equation by 7
So: 14x+8y = 18 and 14x+21y = 7
Subtract the 1st equation from the 2nd equation: 13y = -11 => y = -11/13
By substituting y = -11/13 into any of the equations x = 23/13
Therefore the solutions are: x = 23/13 and y = -11/13
What else can I help you with?
What are the solutions to the simultaneous equations of 6.6x plus 16.5y equals 52.8 and -16.5x -6.6y equals 6.6 showing key stages of work?
Eqn (A): => 2x + 5y = 16 Eqn (B): => 5x + 2y = -2 5*Eqn (A) - 2*Eqn (B): 21y = 84 => y = 4 Substituting for y in Eqn (a): x = -2
What is the solution to the equations y equals 3x plus 4 and y equals 2 -7x showing key stages of work?
If: y = 3x+4 and y = 2-7x Then: 3x+4 = 2-7x So: 3x+7x = 2-4 => 10x = -2 => x = -1/5 By substitution: y = 17/5 Solution: x = -1/5 and y = 17/5
How do you solve ordinary differential equations using two stage semi implicit inverse runge kutta schemes?
To solve ordinary differential equations (ODEs) using two-stage semi-implicit inverse Runge-Kutta schemes, you first discretize the time variable into small steps. In each time step, you compute intermediate stages that incorporate both explicit and implicit evaluations of the ODE, allowing for the treatment of stiff terms. Specifically, the scheme involves solving a system of equations derived from the implicit stages to update the solution at each time step. This method provides better stability properties for stiff problems compared to explicit methods.
What are the five stages of the problem solving process?
The five stages of the problem-solving process are: 1) Identifying the Problem - clearly defining the issue at hand, 2) Analyzing the Problem - gathering relevant information and understanding the root causes, 3) Generating Solutions - brainstorming possible solutions or alternatives, 4) Evaluating Solutions - assessing the feasibility and potential impact of each option, and 5) Implementing and Monitoring - putting the chosen solution into action and evaluating its effectiveness over time. This structured approach helps ensure thorough consideration and effective resolution of problems.
What are the stages involved in operations research?
Operations research typically involves several key stages: problem definition, where the issue is clearly identified and formulated; model formulation, where a mathematical model representing the problem is developed; solution methods, where algorithms or techniques are applied to find optimal solutions; and implementation, where the results are put into practice and monitored for effectiveness. Finally, there's often a feedback stage for refining the model based on real-world outcomes.
What are the solutions to the simultaneous equations of 6.6x plus 16.5y equals 52.8 and -16.5x -6.6y equals 6.6 showing key stages of work?
Eqn (A): => 2x + 5y = 16 Eqn (B): => 5x + 2y = -2 5*Eqn (A) - 2*Eqn (B): 21y = 84 => y = 4 Substituting for y in Eqn (a): x = -2
How do you find the solutions of the simultaneous equations of 2x plus 5y equals 16 and -5x-2y equals 2 showing work in step by step stages?
1 If: 2x+5y = 16 and -5x-2y = 2 2 Then: 2*(2x+5y =16) and 5*(-5x-2y = 2) is equvalent to the above equations 3 Thus: 4x+10y = 32 and -25x-10y = 10 4 Adding both equations: -21x = 42 or x = -2 5 Solutions by substitution: x = -2 and y = 4
What are three stages of defining and solving a public policy issue?
identify the problem, determine options, implement solutions
What is Waterfall Solutions?
Waterfall is one of the software development life cycle model. Waterfall model has five stages.
What is the solution to the equations y equals 3x plus 4 and y equals 2 -7x showing key stages of work?
If: y = 3x+4 and y = 2-7x Then: 3x+4 = 2-7x So: 3x+7x = 2-4 => 10x = -2 => x = -1/5 By substitution: y = 17/5 Solution: x = -1/5 and y = 17/5
What is the perpendicular distance from the coordinates of 7 and 5 to the straight line of 3x plus 4y -16 equals 0 showing key stages of work?
Points: (7, 5) Equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Equations intersect at: (4, 1) Length of perpendicular line: 5
What are the 6 stages of the decision-making model?
identifying a problem thinking of possible solutions deciding on the best solution communicating implement evaluate (:
What are the stages in the route to enquiry?
The stages in the route to enquiry typically include awareness (identifying a problem or need), consideration (researching potential solutions), evaluation (comparing options), decision (making a choice), and post-purchase evaluation (reflecting on the experience).
What is the perpendicular distance from the point 7 5 to the staight line equation 3x plus 4y -16 equals 0 showing key stages of work?
Equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Both equations intersect at: (4, 1) Perpendicular distance: square root of (7-4)2+(5-1)2 = 5
What are the advantages of simultaneous Product Development?
Simultaneous product development, or concurrent engineering, offers several advantages, including reduced time-to-market by overlapping different stages of the development process. It enhances collaboration among cross-functional teams, leading to improved communication and faster problem-solving. Additionally, it allows for early identification of potential issues, which can minimize costs and resource wastage. Overall, this approach fosters innovation and adaptability in response to market demands.
What is the perpendicular distance from the point 4 -2 to the line 2x -y -5 equals 0 showing key stages of work?
Points: (4, -2) Equation: 2x-y-5 = 0 Perpendicular equation: x+2y = 0 Equations intersect at: (2, -1) Perpendicular distance is the square root of: (2-4)2+(-1--2)2 = 5 Distance = square root of 5
How do you solve ordinary differential equations using two stage semi implicit inverse runge kutta schemes?
To solve ordinary differential equations (ODEs) using two-stage semi-implicit inverse Runge-Kutta schemes, you first discretize the time variable into small steps. In each time step, you compute intermediate stages that incorporate both explicit and implicit evaluations of the ODE, allowing for the treatment of stiff terms. Specifically, the scheme involves solving a system of equations derived from the implicit stages to update the solution at each time step. This method provides better stability properties for stiff problems compared to explicit methods.
