Subject: Mathematics
Book: Maths Mastery
Solving a system of three unknowns (x, y, z) typically uses substitution, elimination, or matrix methods like Gaussian elimination. For example, if you have x + y + z = 6, 2x – y + 3z = 8, and –x + 4y + 2z = 12, systematically combining equations can isolate one variable at a time. Alternatively, representing the system as a matrix and applying row operations speeds up the solution. These methods are crucial in engineering (analyzing networks), physics (forces in equilibrium), and advanced math modeling. Building skill in 3-variable systems extends your capacity to tackle multi-dimensional problems across disciplines.
If x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionThe sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionWhat is the value of log₃(27)?
View QuestionIf a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionIf a number is divisible by 9, it is also divisible by which of the following?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionIf the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
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