Step-by-step explanation:
In order to graph this system of equations, you have to put the equations in terms of y so that you can graph it by hand.
For the first equation:
Subtract x on both sides so that it reads to be
For the second equation:
Subtract 3x on both sides and divide by -1 to make the y positive. Remember that when you divide, the sign always flips:
So the two equations you have to graph now are and .
In order to graph, start from your y-intercept for each of the equations and go vertical/horizontal based on the coefficient of your equation. For instance, for your first equation, you would go down -1 and to the right 1. Repeat until your whole equation is graphed. For the second equation your coefficient is 3, so you would go up 3 from -4 and to the right 1. Repeat.
Once you have your equations graphed, you need to find where the two graphs both have solutions. To do this, pick any point from the graph and plug it into the x and y of one equation. If the equation equals itself, then that area is the solution of the graph for that equation. Make sure to do this for both equations. Once you find the area in which both equations have solutions for each other, that is the area that needs to be shaded.
Here is what your graph should look like:
Answer:
The call premium is $35
Step-by-step explanation:
Hi, the call premium is found as follows.
So, the call premium is $35.
Best of luck.
Answer: A. The bird's rate in miles per hour
Step-by-step explanation:
in the attachment
Answer:
The boy's age is 8, the younger brother's age is 4.
- What we know is that the first brother has to be 8, because the equation given is x = y(younger brother) + 8
- Now we must solve the equation based off of this.
- Hmm. What would the product of twice the sum of the younger brother's age be?
- If we have already found out that the older brother's age is currently 8, we know that that 8 + 4 is 12, and in that case, the 2 must be the current age apart the brothers are, 2 years. And that would mean the younger brother is 4. Let's finish the equation.
To find the younger brother's age using the given values...
That said, everything matches up with the equation. The first brother is twice the age of his younger brother.
Answer:
<h2>
c. 3x + 8y = -1
</h2><h2>
-12x - 32y = 4</h2>
Step-by-step explanation:
If we divide second equatoin by (-4) we get the first equation.
Two identical equations means infinite number of solutions.