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Arada [10]
3 years ago
5

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the

numbers or symbols. First equation is 3x+4y=17 And Second equation is -4x-3y=-18
Mathematics
2 answers:
Mumz [18]3 years ago
6 0
I have no idea maybe ask ur math teacher
expeople1 [14]3 years ago
6 0

Answer:

(3, 2)

Step-by-step explanation:

The system of equations can be solved using elimination to eliminate one variable and solve for the other.  Given the two equations:

3x + 4y = 17 and -4x - 3y = -18, we need to have opposite coefficients to eliminate a variable.  Multiplying the first equation by '3' and the second by '4':

3(3x + 4y = 17) = 9x + 12y = 51

4(-4x - 3y = -18) = <u>-16x - 12y = -72</u>

                                      -7x = -21

                                        x = 3

Solve for y:  3(3) + 4y = 17 or 9 + 4y = 17

y = 2

(3, 2)

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inn [45]
Recall that (x+y)^2=x^2+2xy+y^2. So we can add twice the first equation to the second one to get

x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4

Since xy=3, we have y=\dfrac3x (x\neq0) so

x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0

If x+y=4, then

x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3

If x+y=-4, then

x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1

So the solution set is

(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}
3 0
3 years ago
A square pyramid with a height of 7 inches has volume of 47.25 cubic inches. Find the side length of the square base
mixas84 [53]
Hello,
Volume of the square pyramid=
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Now, substitute the information that we had from this problem into the formula.
47.25=1/3×B×7
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s=4.5 inches. As a result, the side length of square base is 4.5 inches. Hope it help!
7 0
3 years ago
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Lena [83]

Answer:

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Step-by-step explanation:

9 x 18 = 162

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dybincka [34]

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8 0
3 years ago
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