1.solve.

{y=2x−64x−2y=14

use the substitution method.
2.solve.

{y=x−63x+2y=8

use the substitution method.
3.what is the y-coordinate of the solution for the system of equations?

{x−y=1227+3y=2x

enter your answer in the box.
4.what is the y-coordinate of the solution of the system of equations?

{y=2x+14−4x−y=4

enter your answer in the box.

The answer to your question is below

Step-by-step explanation:

1.-                           y = 2x - 64

                            x - 2y = 14

Substitution

                            x - 2(2x - 64) = 14

Simplification

                            x - 4x + 128 = 14

                             x - 4x = 14 - 128

                            -3x = - 114

                               x = 114/3

                               x = 38

                             y = 2(38) - 64

                             y = 76 - 64

                             y = 12

Solution (38, 12)

2.-                            y = x - 6

                               3x + 2y = 8

Substitution

                               3x + 2(x - 6) = 8

Simplification

                              3x + 2x - 12 = 8

                              5x = 8 + 12

                              5x = 20

                              x = 20 / 5

                            x = 4

                             y = 4 - 6

                             y = -2

Solution (4 , -2)

3.-                           x - y = 12

                            27 + 3y = 2x

                            x = 12 + y

                            27 + 3y = 2(12 + y)

                            27 + 3y = 24 + 2y

                            3y - 2y = 24 - 27

                                     y = -3

                             x = 12 - 3

                             x = 9

Solution y = -3

4.-                          y = 2x + 14

                           -4x - y = 4

                            -4x - (2x + 14) = 4

                            -4x - 2x - 14 = 4

                            -6x = 4 + 14

                            -6x = 18

                                x = 18/-6

                                x = -3

                            y = 2(-3) + 14

                            y = -6 + 14

                           y = 8

Solution   y = 8

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

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: