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.
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Yes, it is possible to write more than one augmented matrix for a system of linear equations, as the augmented matrix represents the same system in different forms. For example, if the equations are manipulated through row operations, the resulting augmented matrix will change while still representing the same system. Additionally, different orderings of the equations or the variables can also yield different augmented matrices. However, all valid forms will encapsulate the same solutions to the system.
Write your answer as an ordered pair. y = -3 + 5x 3x - 8y = 24
The expressions "xx" and "xy" suggest that you might be referring to two equations involving the variables x and y. If you meant to write the equations as (y = xx) (or (y = x^2)) and (y = xy) (or (y = x \cdot y)), they can be rewritten into a system of equations. However, without clearer definitions of these expressions, it's difficult to provide a precise system. Please clarify the equations for a more accurate response.
to come up with the total
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
If there are two variables, you'll usually need two equations in the two variables, to be able to find a specific solution. How you write the equation depends on the specific problem. In general, it requires some practice, to be able to convert a word problem into mathematical equations.
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if y = xa then a = logxy
Write your answer as an ordered pair. y = -3 + 5x 3x - 8y = 24
Write each equations in popular form. ... Make the coefficients of one variable opposites. ... Add the equations ensuing from Step two to remove one variable. Solve for the last variable. Substitute the answer from Step four into one of the unique equations.
The expressions "xx" and "xy" suggest that you might be referring to two equations involving the variables x and y. If you meant to write the equations as (y = xx) (or (y = x^2)) and (y = xy) (or (y = x \cdot y)), they can be rewritten into a system of equations. However, without clearer definitions of these expressions, it's difficult to provide a precise system. Please clarify the equations for a more accurate response.
If there are two variables, you'll usually need two equations in the two variables, to be able to find a specific solution. How you write the equation depends on the specific problem. In general, it requires some practice, to be able to convert a word problem into mathematical equations.
money
2L + 2W = 34 L + W = 17 L = 2W - 4 3W - 4 = 17 3W = 21 W = 7 L = 10
Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.
They are used to write balanced chemical equations.