Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
Answer:
I do not know how it wants the answer, but it is -4.1 repeating.
I am guessing you meant solve for z too? If there are multiple choice I can help choose the right one.
Step-by-step explanation:
-32>5+9z
subtract 5 from both sides
-37>+9z
then divide 9 from both sides
-4.1111 repeating > z
Answer:
Natasha gets 84
Step-by-step explanation:
Here, we want to know how much Natasha gets
Krutika gets 2 times as much as Natasha
If Natasha gets x, Krutika gets 2x
If Natasha gets x, Richard will get x/3 ( 3 times of this is what Natasha gets)
Now let us have a ratio;
K : N : R
2x : x : x/3
Multiply through by 3
6x : 3x : x
To get the amount Natasha gets, we add up all ratio; (6x + 3x + x ) = 10x
Natasha gets 3x of the total ratio
That will be;
3x /10x * 280
= 3/10 * 280
= 84
