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
Solve this equation <br>4-2x-12-2x+1
alina1380 [7]
This is not an equation because it lacks an equal sign....so the only thing we can do here is combine like terms.
4 - 2x - 12 - 2x + 1 =
-4x - 7
5 0
3 years ago
Read 2 more answers
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
Verizon [17]

Answer:

Area of Pool cover: 110.25π

Length of rope: 21π

Step-by-step explanation:

To find the area of a circle the formula is πr^2.

1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π

To find the length of the rope(circumference) the formula is 2πr.

1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π

____________________________________________________________

If ur teacher wants you to use 3.14 as pi then these are your answers:

Area of Pool cover: 346.185, round up to 346.19 if needed

Length of rope: 65.94

8 0
3 years ago
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.
Rina8888 [55]
(I need more charecters) the price might be $23.75
5 0
3 years ago
Help show work<br> Thank you
Anika [276]
1.) v=(l)(w)(h)
V=(9)(9)(9)
V=(81)(9)
V=729in^3

2.) (I forget if this is the real equation to this but this would give you the same answer)

V=(l)(w)(h)
————
2
V=(8)(6)(12)
————-
2
V=576/2

V=288cm^3
7 0
3 years ago
......................​
ExtremeBDS [4]

Answer:

the question is about the table you have to make a table it is very easy

6 0
3 years ago
Other questions:
  • Estimate length using compensation
    6·1 answer
  • Solve by elimination 5x-14y=22 -6x+7y=3
    7·1 answer
  • Please Help me asap!<br>​
    14·1 answer
  • Goods available for sale are $40000, beginning inventory is $16000, ending inventory is $20000, the cost of goods sold $50000, w
    10·1 answer
  • If the cooking time is 4.33 hours and the food should be ready by 17:15pm what time should we start cooking
    6·2 answers
  • I need help with this rate of change problem
    5·2 answers
  • Which procedure correctly simplifies the expression below?
    13·1 answer
  • the height of a firework above the ground (h) is given by the formula calculate the height of a firework after 3 seconds if the
    10·1 answer
  • What is 713.49 written as a standard form​
    10·2 answers
  • Brandon is making apple cider if he makes 6 quarts how many one cup servings can he pour
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!