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let X = the first vs According to the equation

The two phrases are not directly comparable as they serve different purposes. 'let x = the first' is used in mathematics to assign a value to a variable, while 'according to the equation' is used to introduce information derived from an equation. They are used in different contexts and cannot be interchanged.

Last updated: March 15, 2024 • 605 views

let X = the first

This phrase is correct in the context of mathematics when assigning a value to a variable.

This phrase is commonly used in mathematical contexts to denote assigning a specific value to a variable, usually at the beginning of a problem or equation.

Examples:

  • Let x = 5 in the equation.
  • Let y = the first term of the sequence.
  • Let z = the unknown variable.
  • SOLUTION: Which equation should be used to solve this problem? The sum of two consecutive even integers is 42. Find the numbers. Let x = the first number.
  • Find the numbers. Let x = the first number. Algebra -> Customizable Word Problem Solvers -> Numbers -> SOLUTION: The sum of two consecutive even integers ...
  • Let x = the first number. c. Label other unknown quantities in terms of x. Let 30 – x = the other number. Since the numbers have to add to 30, if we subtract one ...
  • To set up this problem, let x = the first integer. Then x + 1 = the next consecutive integer. The equation is x(x + 1) = 210. 2) The integers are 5 and 7. (NOTE: –1.5 ...

According to the equation

This phrase is correct and commonly used to introduce information derived from an equation.

This phrase is used to indicate that the following information or result is based on the given equation or mathematical expression.

Examples:

  • According to the equation, the solution is x = 3.
  • According to the equation provided, the answer is correct.
  • According to the equation given, the value of y is 10.
  • Mar 10, 2009 ... According to the equation (1.1.) -- where it's quite clear what "the equation" refers to because there are no other equations in the context, or it ...
  • SOLUTION: A particular compound decays according to the equation y =ae^- 0.0974t, where t is in days. Find the half-line of this compound.
  • SOLUTION: A particular compound decays according to the equation y=ae^(- 0.974t), where t is in days. Find the half-life of this compound.
  • A 0.5 kg mass vibrates according to the equation x=0.45cos(8.4t), where x is in meters and t is in seconds. Determine a) the amplitude b) the frequency.

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