Answer:
Consistent and dependent
Step-by-step explanation:
Given


Required
The words that describe the equations
Make y the subject in (2)

Collect like terms

Divide through by 2

Substitute:
in (1)



Collect like terms


Solve for x

Simplify

Substitute
in 



So, we have:
and 
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
Answer:
Option 3: mean increases by 3
Step-by-step explanation:
Current mean:
[50+76+78+2(79)+80+81+2(82)+83] ÷ 10
= 77
Without the outliers:
[76+78+2(79)+80+81+2(82)+83] ÷ 9
= 80
80 - 77 = 3 (increase)
C. Infinitely many of solutions
53 3/4=53.75
To find out how many 4ft ropes you can make divide 53.75 by 4
53.75/4=13.4375
You can make 13 4ft ropes out of a 53.75ft rope
Answer:
see below
Step-by-step explanation:
A graphing calculator is useful for this.
__
To find the x-intercept, set y=0 and solve for x:
0 -3x = 12
x = -4 . . . . . . divide by -3
To find the y-intercept, set x=0 and solve for y:
4y - 0 = 12
y = 3 . . . . . . divide by 4
Plot the x- and y-intercepts on their respective axes and draw a line through them.