Type the correct answer in each box.
use numerals instead of words. if necessary, use / for the fraction bar(s).
solve the given system of equations.
2x+8y=5
24x-4y=-15
the solution to the system is

multiply second equation by 2

48x-8y=-30

add with first equation

50x=-25

divide by 50

x=-½

substitute to first equation

2(-½)+8y=5

-1+8y=5

8y=6

y=¾

hence the solution to the system is (-½,¾)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: