Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Answer:
Step-by-step explanation:
A theatre has 4 chair in a row; lets draw that out
Let's pretend that this is a chair: ♦
So we have 4 chairs in a row
♦ ♦ ♦ ♦
And there are 5 rows
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
♦ ♦ ♦ ♦
Let's find the perimeter;
4 + 5 + 4 + 5
=18
The perimeter is 18 rows.
For this case, the first thing we must do is define variables.
We have then:
x: number of cabins
y: number of campers
We now write the equation that models the problem:

We know that there are 148 campers.
Therefore, substituting y = 148 in the given equation we have:

From here, we clear the value of x:

Therefore, the number of full cabins is:

Answer:
The number of full cabins is:

<h3>Answer:</h3>
(x, y) ≈ (1.49021612010, 1.22074408461)
<h3>Explanation:</h3>
This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.
_____
Setting the y-values equal and squaring both sides of the equation gives ...
... √x = x² -1
... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides
... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.
By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.
48 pounds/1 * 1 kg/2.2 pounds=<span>21.82 kg
amanda weighs 21.82 kg, so the amount of medication that needs to be administered should be 21.82 mg.</span>