1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedaia [141]
2 years ago
5

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

Mathematics
1 answer:
photoshop1234 [79]2 years ago
7 0

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

You might be interested in
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.
Leokris [45]

Answer:
NK = 14.4

Step-by-step explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

<u>The scale factor is 2.4 since....</u>

3\times2.4=7.2


Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6
6\times2.4=14.4
=14.4

NK = 14.4

Hope this helps.

6 0
2 years ago
Read 2 more answers
Descubra a regra e continue a sequência​
spayn [35]
Yes get into it girl you right oh ya so right
7 0
3 years ago
Solve 6 + 5 √ 2 4 9 − 2 x = 7
NISA [10]

6+5\sqrt{249}-2x=7 \\-2x=7-6-5\sqrt{249} \\-2x\approx-77.9 \\x\approx\frac{-77.9}{2}\approx38.95

Hope this helps.

7 0
3 years ago
Which algebraic expression is equivalent to the expression below? [x +2 - (5x + 5)]2
kvv77 [185]
<span>[x + 2 - (5x + 5)] ² =
[x + 2 - 5x - 5]² =
[x - 5x + 2 - 5]² =
[-4x - 3]² =
(-4x)² - 2.(-4x).3 + (-3)² =
16x² + 24x + 9

Answer:
</span>\boxed{C = 16x^2 + 24x + 9}<span>



</span>
6 0
2 years ago
A catalog is discounting all sweaters 25%. How much will you pay for a sweater that is regularly $49.99? (A) $24.99 (B) $37.49 (
rodikova [14]
B becuase of 49.99 times .75
6 0
3 years ago
Other questions:
  • Please Help Me!<br> This worth 25 points !<br> ASAP PLEASE PLEASE . . .
    9·1 answer
  • (3-1) + (1 - 2) =<br> what is the answer to this question? i don’t understand it.
    8·2 answers
  • Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 30 inches long, 12 inches wide, and 24 inches tal
    5·1 answer
  • The volume of a right cylinder is 896 pi cubic inches and the height is 14 inches. find the radius
    5·2 answers
  • Solve the following also show you're workings
    13·1 answer
  • If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. ​
    8·1 answer
  • Algebra 2<br> Please help me solve this.
    5·1 answer
  • Plz help! Big points!
    6·1 answer
  • For a given input value aaa, the function hhh outputs a value bbb to satisfy the following equation. 3a-5=-4b+13a−5=−4b+13, a, m
    8·2 answers
  • Find the value of X.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!