Use substitution to solve the linear system of equations.
x=4
-y=1/2x

(4, -2)
(-2, 4)
(4, 2)
(2, -4)

The solution is (4,-2)

Step-by-step explanation:

Given system of equations:

To solve the system of equations using substitution.

Solution:

We will substitute the value of given in the first equation in the second equation to solve for .

Substituting in second equation.

Multiplying both sides by -1 to isolate positive on the left.

[Two negatives multiply to become positive]

So, the solution is and .

The solution in order pair is  (4,-2)

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:

step-by-step explanation:

bob the banana