The right answer is C)
Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)
B) Inconsistent. No solutions. (See Figure 2)
C) Consistent and Independent. (See Figure 3)
D) Consistent and dependent.
Y=1.5 at the midpoint of GH. To do this you add the y values of the endpoints together and divide by two ----> 5-2= 3 ----> 3/2= 1.5
Hope this helps you !!
First, it would help to simplify each side more:
Left side: 36 + 3(4x - 9) = 36 + 12x - 27 = 12x + 9
Right side: c(2x + 1) + 25 = 2cx + c + 25
Write the simplified equation:
12x + 9 = 2cx + c + 25
Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:
2cx >>> 12x
Then, c must equal 6 to make this true.
The answer is choice (C).
Answer:
D - 89
Step-by-step explanation:
you get 4 glasses for each pint.
22*4 = 88
then you get 1 for the 1/4
88+1=89
