Inconsistent system of equation consists of equations whose graphs do not intersect (they are parallel lines) and there is no solution.
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+<span>10y+15z=60 (1)
</span>2x+4y+6z=60 (2)
<span>x+2y+3z=60 (3)
We can divide the first one by 5 </span><span>to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
</span>which is not the same as <span>x+2y+3z=60.
</span>They are not dependent (they are independent).<span>
We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
</span><span>x+2y+3z=30 (2) divided by 2
which is not the same as </span><span>x+2y+3z=60. They are not dependent (they are independent).
The graphs of the three functions are parallel so, they are inconsistent.
Solution: inconsistent and independent
</span>
Answer:
(2, 2)
Step-by-step explanation:
In this case, elimination would be the most efficient means of solving.
Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\
5x + 10y = 30
+
-5x + 15y = 20
(x's cancel) 25y = 50
25y = 50
y = 2
5x + 10(2) = 30
5x + 20 = 30
5x = 10
x = 2
The solution to this equation is (2, 2)
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
Answer:
x = 300
Step-by-step explanation:
of means multiply and is means equals
25% * x = 75
Change to decimal form
.25x = 75
Divide each side by .25
.25x/.25 = 75/.25
x = 300
