What is the solution to the system of linear equations? Show your work using either substitution or elimination. Problem:
3x-2y=7
y=x+2

please tell me how you got the answer.

3x - 2y = 7

Where y = x + 2

3x - 2(x + 2) = 7

3x - 2x - 4 = 7

x = 11

Step-by-step explanation:

If you are solving for X and y = x+2 then you write the equation out like this.

3x - 2(x +2) = 7 …. You substitute the x + 2 for y and then solve for x.

2x - 2 times x + 2 times - 2 = 7. That becomes 3x - 2x - 4 = 7. You then subtract 2x from 3x to give you X. Then you add 4 on one side to zero it out and add 4 to the other side. 7 + 4 = 11. This gives you the answer X = 11.

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:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2