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kicyunya [14]
2 years ago
5

-6x-14y=16 and -2x+7y=17 solve by elimination show the work

Mathematics
1 answer:
professor190 [17]2 years ago
6 0

Answer:

(- 5, 1 )

Step-by-step explanation:

- 6x - 14y = 16 → (1)

- 2x + 7y = 17 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

6x - 21y = - 51 → (3)

Add (1) and (3) term by term to eliminate x

0 - 35y = - 35

- 35y = - 35 ( divide both sides by - 35 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

- 6x - 14(1) = 16

- 6x - 14 = 16 ( add 14 to both sides )

- 6x = 30 ( divide both sides by - 6 )

x = - 5

solution is (- 5, 1 )

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Its this one lol sorry
Alenkasestr [34]

Answer:

x = 41.7

WYZ = 63.4 degrees

WZY = 33.2 degrees

ZWY = 83.4 degrees

Hope that helps!

3 0
3 years ago
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
2 years ago
. Aladdin found a cave filled with boxes of gold, measuring 2 inches × 2 inches × 2 inches, and boxes of silver, measuring 1 inc
Viktor [21]

Answer:

Step-by-step explanation:

volume of box=6×6×7 in³

he fits gold 2×2×2

so he fits it in 6×6×6

so number of gold boxes=(6×6×6)/(2×2×2)=27

remaining space=1×6×6

number of silver boxes=(1×6×6)/(1×1×1)=36

total boxes he took=27+36=63

4 0
3 years ago
ANSWER AS MANY THROUGH 1 and 9 FOR 15 POINTS
Tamiku [17]
Number 9 is 1.52 because you divide 15.3 by 10 it will be 1 .52
7 0
3 years ago
Holly wants to save money for an emergency. Holly invests $1,100 in an account that pays an interest rate of 8.75%. How many yea
olga_2 [115]
I believe it would be 3.5 years or 3 1/2 years
4 0
3 years ago
Read 2 more answers
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