How do I find X in the simplest radical form

1/3 x− 1/8 y=3 <br> 7y+9x=−2<br> please solve the system <br> 45 points for who does

photoshop1234 [79]

Answer:

$x=6\\y=-8$

Step-by-step explanation:

$\frac{1}{3}x-\frac{1}{8}y=3\\ 7y+9x=-2$

One method could be rewriting the second equation as x in terms of y and solving by replacing in the first equation.

$7y+9x=-2\\9x=-2-7y\\x=\frac{-7y-2}{9}$

Replace...

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(\frac{-7y-2}{9})-\frac{1}{8}y=3$

$\frac{-7y-2}{27}-\frac{1}{8}y=3$

$-\frac{7}{27}y-\frac{2}{27}-\frac{1}{8}y=3$

add $\frac{2}{27}$ on both sides.

$-\frac{7}{27}y-\frac{1}{8}y=3+\frac{2}{27}$

Combine like terms

$\frac{(-7)(8)-(1)(27)}{(27)(8)} y=\frac{(3)(27)+2}{27}$

$\frac{-56-27}{216} y=\frac{81+2}{27}$

$\frac{-83}{216}y =\frac{83}{27}$

Now, to get rid of the fraction and isolate y, multiply by the reciprocal or the inverted fraction.

$(\frac{216}{-83}) \frac{-83}{216}y =\frac{83}{27}(\frac{216}{-83})$

$y=\frac{216}{-27}$

Simplify

$y=-8$

Now replace the value of y in either equation to find x.

$7y+9x=-2\\7(-8)+9x=-2\\-56+9x=-2$

add 56

$56-56+9x=-2+56\\9x=54\\$

Divide by 9

$\frac{9x}{9}=\frac{54}{9}\\ x=6$

To check whether these values are accurate, replace in either equation both values and you should have an equality. In this case I'll do it in both equations.

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(6)-\frac{1}{8}(-8)=3$

$2-(-1)=3\\2+1=3\\3=3$

-----------------------------------------------------------------

$7y+9x=-2\\7(-8)+9(6)=-2\\-56+54=-2\\-2=-2$

7 0

3 years ago

In the 6,492.709 which number is in the 10th place?

slamgirl [31]

I believe that the answer is 7 because it is in the tens place.

Sorry misunderstood the Question the other user is correct

originally had a 2

5 0

3 years ago

Read 2 more answers

A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall

Nookie1986 [14]

Answer:

71.764 feet

Step-by-step explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764 feet

4 0

3 years ago

Point J is located at (2,5)(2,5) and point K is located at (4,19)(4,19).

Anni [7]

We have the coordinates
J (2,5)
K (4,19)

Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,

Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2

Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4

The coordinates of the point is
(2.2,13.4)

5 0

3 years ago

What is the reciprocal of x^2/6x?

Rzqust [24]

6x / x²

the reciprocal of a number n is $\frac{1}{n}$

the reciprocal of $\frac{x}{y}$ is $\frac{y}{x}$

The product of a number and it's reciprocal = 1

4 0

3 years ago