What is the solution to the system of equations? y = –3x 6 y = 9 (–21, 9) (9, –21) (–1, 9) (9, –1)

the solution of the system of equations is (-21,9)

First option is correct.

Step-by-step explanation:

The given system of equations is

We can solve this system of equations by substituting method.

Substitute y = 9 in equation (i)

Therefore, the solution of the system of equations is (-21,9)

First option is correct.

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:

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.