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Solve the system by the elimination method 7x-9y equals 35 plus -3x plus 6yequals -15?
7x - 9y = 35-3x + 6y = -15 (divide the second equation by 3, after that multiply it by 7)7x - 9y = 35-7x + 14y = -35 (add both equations)5y = 0 (divide both sides by 5)y = 07x - 9y = 35 (substitute 0 for y)7x = 35 (divide both sides by 7)x = 5Thus the solution of the given system of the equations is x = 5 and y = 0.
How do you calculate the minimum value of a component if the resultant force is given?
To calculate the minimum value of a component given a resultant force, first, identify the force's direction and magnitude. Use vector decomposition to break down the resultant force into its components along the desired axes. Then, apply the relevant equations of equilibrium or force balance to find the minimum value of the component, ensuring that the forces satisfy the given conditions. This often involves solving inequalities or equations that relate the components to the resultant force.
Solve y equals -2 4x-3y equals 18?
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
What is the order pair for 4a - 5b equals 7 and 4a plus 5b equals 17?
Simultaneous Equations 4a - 5b = 7 4a + 5b = 17 Add the two , this will eliminate 'b' 8a = 24 Divide both sides by '8' a = 3 When a= 3 , substitute into eityher equation for 'b'. 4(3) + 5b = 17 12 + 5b = 17 5b = 17 - 12 = 5 5b = Divide both sides by '5'. Hence 'b = 1'.
To solve the system given below using substitution it is best to start by solving the second equation for y?
True
What is the solution to system of equations in which the two lines given have different slopes?
When two lines in a system of equations have different slopes, they intersect at exactly one point. This means the system has a unique solution, which corresponds to the coordinates of the intersection point of the two lines. You can find this point by solving the equations simultaneously using methods such as substitution or elimination.
Which ordered pairs is a solution of the given system of linear equations?
That would depend on the given system of linear equations which have not been given in the question
How do you write a system of equations based on a word problem?
To write a system of equations based on a word problem, first identify the key variables that represent the unknown quantities in the scenario. Next, translate the relationships and conditions described in the problem into mathematical expressions using these variables. Finally, combine these expressions into a system of equations that accurately represents the problem's context and constraints. Be sure to double-check that each equation corresponds to the information given in the problem.
Malique solved the system of equations below and found that x 5 which ordered pairs is the solution to the system?
That of course will depend on what system of equations are they which have not been given
How can you determine if the given ordered pair is a solution to the system of equations?
Plug your ordered pair into both of your equations to see if you get they work.
What is the solution of the system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
What is the definition of solution of system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Is (-1 1) a solution to this system of equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
What is independent system?
Independence:The equations of a linear system are independentif none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
How do you find the area of a triangle if equations are given?
It depends on what equations are given.
What is the solution of the system of equations y-2x 5 -5y10x 20?
Without any equality signs the given expressions can't be considered as equations.
Is (63) a solution to this system of equations y3x-3 3x-y3?
Without any equality signs the given expressions can't be considered to be equations.
