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
Blababa [14]
1 year ago
9

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Mathematics
1 answer:
Bond [772]1 year ago
7 0

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}

Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

You might be interested in
A circle has a sector with area 27 and central angle of 120
Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a  circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi

Hence, the area of the circle is 81π

6 0
3 years ago
Use the image below to answer the following question.
Rainbow [258]

Answer:9

Step-by-step explanation:pp

3 0
3 years ago
Pls give me a real awnser this is a chart so the question is the pic
Airida [17]

Answer:

The answer is in the attachment!

Step-by-step explanation:

8 0
3 years ago
A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len
maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

P=2(x+y)

P=256\ yd

so

256=2(x+y) ------> equation A

we have that

x=2y-4 -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

256=2(2y-4+y)

128=3y-4

3y=128+4

3y=132

y=44

Find the value of x

x=2(44)-4=84

therefore

The length of the rectangular playing field is 84 yards and the width is 44 yards

4 0
3 years ago
8.3 is equal to <br> tenths<br> hundredths​
irakobra [83]

Answer:  

83 Tenths  

830 hundreths  

Step-by-step explanation:  

8.30=8.3 Remove the points and they will give you how many tenths or hundreths

(hope this helps can i plz have brainlist :D hehe)

6 0
3 years ago
Read 2 more answers
Other questions:
  • 24 guests were invited to a party. 1/3 brought drinks. 1/4 brought drinks. The rest brought utilery. How many brought utilery?
    12·1 answer
  • Fraction Problems
    9·1 answer
  • WILL GIVE BRAINLIEST TO CORRECT ANSWER! HELP ASAP! I AM ON A TIME LIMIT! Classify the following triangle as acute, right or obtu
    10·2 answers
  • Find the quotient of 9\4 3\8<br>​
    13·1 answer
  • What is the value of x?<br><br><br> What is the value of y?
    12·1 answer
  • (a) Each student in a pottery class is responsible for cleaning the area around his or her workspace at the end of the lesson. E
    15·1 answer
  • Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
    7·1 answer
  • Answer 18 and 19 please!
    14·1 answer
  • Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Fin
    8·1 answer
  • Reid just got a pet feeder for his cats and filled it with 8 cups of food. The feeder will
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!