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
Travka [436]
2 years ago
11

Solve the following....

5y=-23" alt="5x+3y=7\\3x-5y=-23" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
AlekseyPX2 years ago
8 0

\qquad\qquad\huge\underline{{\sf Answer}}

let's solve ~

The given equations are :

\qquad \tt \dashrightarrow \:5x + 3y = 7 \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \: \:  - (1)

and

\qquad \tt \dashrightarrow \:3x - 5y = -  23 \:    \:  \:  \:  \: \:  - (2)

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

\qquad \tt \dashrightarrow \:25x + 15y = 35 \:  \:  \:  \:  - (3)

\qquad \tt \dashrightarrow \:9x - 15y  = - 69 \:  \:  \:  - (4)

Now, add equation (3) and (4) :

\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x -  \cancel{15y }= 35 + ( - 69)

\qquad \tt \dashrightarrow \:34x =  - 34

\qquad \tt \dashrightarrow \:x =  - 1

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

\qquad \tt \dashrightarrow \:5x + 3y = 7

\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7

\qquad \tt \dashrightarrow \:3y - 5 = 7

\qquad \tt \dashrightarrow \:3y = 12

\qquad \tt \dashrightarrow \:y = 4

Hence, value of y is 4

I hope you understood the whole procedure ~

brilliants [131]2 years ago
4 0

<em>Hello ~</em>

<em />

My name is Irxdscent, and I will be answering your question today! :D

\sf{5x \: + \: 3y = 7}

<h2>⇢ <u>Explanation :-</u></h2>

<u />

  • Subtract \bold{\underline{3y}} from both sides.

        \bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}

  • Simplify

        \bold{5x = 7 \: - \: 3y}

  • Divide both sides \bold{\underline{5}}

        \bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}

  • Simplify

        \bold{x =\frac{7 \: - \: 3y}{5}}

\sf{3x \: - \: 5y = -23}

<h2>⇢  <u>Explanation :-</u></h2>

<u />

  • Add \bold{\underline{5y}} to both sides.

        \bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}

  • Simplify

        \sf{3x = -23 \: + \: 5y}

  • Divide both sides by \bold{\underline{3}}

        \bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}

  • Simplify:

        \bold{x = \frac{-23 \: + \: 5y}{3}}

Hope It Helps! ~

<em>~ Learn With Lrxdscent ~</em>

<em />

<em />\underline{Answer :}

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

You might be interested in
Find the circumference of the pizza to the nearest hundredth.
Ludmilka [50]

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

8 0
3 years ago
If one factor of x2+2x-24 is (x+6), what is the other factor
lyudmila [28]

Answer:

<h2>(x-4)</h2>

Step-by-step explanation:

Step 1 : Write +2x as a difference

= x^2-4x+6x-24

Step 2: Factorize out common terms

= x(x-4)+6(x-4)

Factorize out (x-4)

(x-4)(x+6)

x^{2} +2x-24\\Write+2x -as-a-difference\\x^{2} -4x+6x-24\\Factor out common terms\\x(x-4)+6(x-4)\\Factor out (x+4)\\(x-4)(x+6)

3 0
3 years ago
A file that is 228 megabytes is being downloaded. If the download is 12.1%complete, how many megabytes have been downloaded? Rou
Dmitry_Shevchenko [17]
27.59 megabytes I believe
6 0
3 years ago
Read 2 more answers
A. 26<br> B. 8<br> C. 12<br> D. I0
Paul [167]

Good morning,

Answer:

B. 8

Step-by-step explanation:

2(2)+√(12+4)=4+√16=4+4=8

:)

6 0
4 years ago
Read 2 more answers
Solve the system of linear equations using linear combination. 3a + 6b = 45 2a – 2b = –12 Which is the solution to the system?
gogolik [260]
A = b - 6
9b - 18 = 45
b = 7
a = 1
4 0
3 years ago
Read 2 more answers
Other questions:
  • Hey im bored and need a friend :(<br> You can call me Cas and im a 13yr old technical girl(*^-^*)
    13·2 answers
  • Write a story problem for the problem 21 X 3/7=
    12·1 answer
  • Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the
    14·1 answer
  • The quotient of 2 numbers is -3 and their difference is -16. What are the 2 numbers?​
    5·1 answer
  • Please help me with this
    7·2 answers
  • if a knock out tennis competition starts with 64 players,how many rounds will it take to reach the grand final?show your steps u
    5·1 answer
  • SOMEONE PLS HELP ME ASAPP!!!!!!!!!!!!!!!!!!
    8·2 answers
  • What is 0.33/0.75 as a decimal
    14·2 answers
  • Can anyone help me plzzz??!
    10·1 answer
  • How can you solve Stoichiometric Calculations
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!