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
Please help (no links or I will report you)
d1i1m1o1n [39]

Answer:

0.60 or 0.6

Step-by-step explanation:

Divide three by five :)

3÷5= 0.6

8 0
2 years ago
I need help with number 17
Minchanka [31]
The answer is D complete the square
8 0
3 years ago
What percentage of the world's current population is under the age of 14?
Scilla [17]

Answer:

25,69% in 2019

Step-by-step explanation:

mark me please

7 0
3 years ago
Could you help me. ​
Sedbober [7]

Answer:

X-Large

Step-by-step explanation:

8 0
3 years ago
Last week Alice spent $18.25 to bowl 5 games. This week she spent $21.90 to bowl 6 games. Alice owns her bowling balls and shoes
kykrilka [37]

Answer:

Answer

5.0/5

23

Let's find the unit rate stemming from $18 for 4 games:

$18

-------------  =  $4.50/game

4 games

Let's do the same for $27 for 6 games:

$27

------- = $4.50/game (same as before)

 6 g

Thus, the const. of prop. is $4.50/game, and the cost function is

C(x) = ($4.50/game)x, where x is the # of games played.

4 0
3 years ago
Other questions:
  • How much is 4817 times 818?
    10·2 answers
  • 2x=10<br> what is x=?<br> please help
    9·2 answers
  • You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to
    12·1 answer
  • What number do we divide by -5 to get 2
    12·2 answers
  • Find the length of "a", to<br> the nearest tenth, using<br> the Pythagorean Theorem.<br> Enter
    8·1 answer
  • Could some body help with this? Please and thank you :)
    10·1 answer
  • Fill in the book value at the end of year 1 under each depreciation method when residual value is $36,000 and useful life is 4 y
    13·1 answer
  • What fractions are equivalent to 1.27 repeating
    11·1 answer
  • Determine the number of solutions for the equation 4x+6=4x+6
    9·2 answers
  • Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!