The larger of two numbers is six less than twice the smaller number. If the sum of the numbers is 42, find the numbers.

Smaller number is 16 and larger number is 26

Step-by-step explanation:

Let the smaller number be y.

The larger number is six less than twice the smaller number which is= (2×y)-6= 2y-6

The addition of the large and small number equals 42.

y + 2y - 6= 42

3y - 6 = 42

3y= 42+6

3y= 48

y= 48/3

y= 16

The smaller number is 16

The bigger number will be 2y-6= (2×16)-6 = 32-6= 26

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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