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Solving a system of two linear equations
Published on February 19, 2025
Pre-Algebra
The system of equations 6^x + 6^y = 42 and x + y = 3 has two solutions: (x, y) = (2, 1) and (x, y) = (1, 2).
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Published on February 19, 2025
The system of equations 6^x + 6^y = 42 and x + y = 3 has two solutions: (x, y) = (2, 1) and (x, y) = (1, 2).
The provided text describes functions, relations, domains, ranges, and inverse functions. It includes examples of relations that are not functions, and explains how to determine the domain and range of a function, including a quadratic function and a rational function. It also demonstrates how to find the inverse of a function.
The solution to the system of equations 5m + n = 26 and m - n = 4 is m = 5 and n = 1. Calculating m^n results in 5^1 = 5.
To solve for x in the equation 2x + 5 = 13, subtract 5 from both sides, then divide both sides by 2 to get x = 4.
The expression evaluates to 0 after calculating the numerator and denominator separately and then dividing them.
The provided text contains a series of math problems, including algebraic expressions, exponents, fractions, and polynomial operations. The solutions demonstrate various techniques for simplifying and manipulating these expressions, such as factoring, expanding, and applying the rules of exponents and fractions.
The expression 3³ ÷ 3 ÷ 3 simplifies to 1.
24 is 60 percent of 40.
The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.
To find the smallest possible values for A and B in a 10-digit number divisible by both 8 and 9, the last three digits (9B8) must be divisible by 8, and the sum of all digits must be divisible by 9. This leads to B=2 and A=3 as the smallest possible values.
To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.