One number added to three times another number is 45. Six times the first number added to two times the other number is 62. Find the SMALLER of the two numbers.

the smaller number is - 7

Step-by-step explanation:

Let x represent the smaller number

Let y represent the larger number.

One number added to three times another number is 45. This is expressed as

x + y = 45

Six times the first number added to two times the other number is 62. This means that

6x + 2y = 62 - - - - - - - - - - - -1

Substituting x = 45 - y into equation 1, it becomes

6(45 - y) + 2y = 62

270 - 6y + 2y = 62

- 6y + 2y = 62 - 270

- 4y = - 208

y = - 208/-4

y = 52

x = 45 - y = 45 - 52

x = - 7

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

2/3

step-by-step explanation: