(08.03)consider the following pair of equations:

y = x + 4
y = −2x − 2

explain how you will solve the pair of equations by substitution. show all the steps and write the solution in (x, y) form.

-2,2

Step-by-step explanation:

1) First, we need to substitute x + 4 for y in the 2nd equation so your equation should now look like this...

2) x + 4 = -2x -2 Now we need to add 2x to both sides of this equation

so x plus 2x is 3x and -2x plus 2x is o so your equation should now look like this

3) 3x + 4 = -2 So now we need to add -4 to both sides so 4 plus -4 is zero and -2 plus -4 is -6 so your equation should look like this..

4) 3x + -6  now we need to divide both sides by 3 so 3x divided by 3 is 1 and -6 divided by 3 is -2 so your equation should look like this

5) x = -2 now we know what our x is but we need our y so we need to substitute -2 for x in the equation y= x + 4 so y= -2 + 4 Now add -2 to 4 and get 2 now you have your Y

Solution (-2,2)

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:

is there a question here?

step-by-step explanation: