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
aniked [119]
1 year ago
10

Solve by substitution. Eq #1 y = -2x - 9 Eq #2 y = 3x + 1

Mathematics
1 answer:
Montano1993 [528]1 year ago
5 0

y = -2x - 9 ----------- 1

y = 3x + 1 -------------- 2

Step 1

Substitute y from equation 1 to equation 2.

y = -2x - 9

3x + 1 = -2x - 9

Step 2

Collect like terms

3x + 2x = - 9 - 1

5x = -10

Step 3

Divide through by 5

x = -10/5

x = -2

Step 4

Substitute x in equation 2 to find y.

y = 3x + 1

y = 3(-2) + 1

y = -6 + 1

y = -5

So the solution is (-2, -5)

You might be interested in
At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are plant
Delicious77 [7]

Answer:

Number of vines that should be planted are 150.

Step-by-step explanation:

The number of pounds of pounds of grapes produced per acre is represented by the expression A_{n}=(700+n)(10-0.01n)

Where n = additional vines planted

To maximize the production of grapes we will find the derivative of A(n) and equate it to zero.

A_{n}=(7000+3n-0.01n^{2} )

A'_{n}=(3-0.02n)

For A'_{n}=0

3 - 0.02n = 0

0.02n = 3

n = \frac{3}{0.02}

n = 150

To check whether the maximum value of the function is at n = 150, we will find the second derivative A(n).

A''_{n}=-0.02

Which shows A"(n) < 0

Therefore, A(n) has the maximum value at n = 150.

Therefore, number of vines that should be planted are 150.

5 0
4 years ago
1 and 1 4th as a decimal
Neporo4naja [7]
1 + 0.25 will equal 1.25
7 0
3 years ago
PLEASE HELP ITS MY TRIMESTER TEST MY MOM WILL KILL ME IF I FAIL! &lt;3 WILL MARK BRAINLIST!
sineoko [7]

Answer:

The quadrilateral is a trapezoid

6 0
3 years ago
Make x the subject of the formula x/a -b=c
horrorfan [7]

Answer:

x ÷ a - b = c

x a-b both side

x = c(a-b)

or

x = ca - bc

7 0
3 years ago
Read 2 more answers
Ms. Higdon is planning her wedding. One venue charges
Diano4ka-milaya [45]

Answer:

80 people would need  to attend for the venues to cost the same amount.

Step-by-step explanation:

Let the total number of people who attend the wedding  = m

The venue charges of venue 1 = $10,000

The per person charge of Venue 1  = $25 per person

So, the charge for m people  =  m x ($25)  = 25 m

So ,The total charge of Venue 1 = Venue Charge  +  People Cost

= $10, 000 + 25 m

Now, The per person charge of Venue 2  = $150 per person

So, the charge for m people  =  m x ($150)  = 150 m

So ,The total charge of Venue 2 =   150 m

According to question:

For m people both charges are equal  ⇒ $10, 000 + 25 m  = 150 m

or, 10,000 = 150 m - 25 m

⇒ 125  m  = 10,000

⇒ m  = 10,000 / 125 = 80

or, m  = 80

Hence,  80 people would need  to attend for the venues to cost the same amount.

3 0
3 years ago
Other questions:
  • Given random variable x is normally distributed, with a mean of 10 and standard deviation of 5, what is the probability that x i
    6·1 answer
  • PLEASE HELP!!!!
    15·1 answer
  • Please help idk what to do
    8·2 answers
  • Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th
    6·1 answer
  • A coral reef grows 0.19m every week. How much does it grow in 15 weeks?
    10·1 answer
  • I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT<br><br> FIND THE VOLUME OF THE CONE
    10·1 answer
  • True or False?
    10·2 answers
  • Which of the following expressions has a simplified value of 3a – 2?
    12·2 answers
  • Which expression is equivalent to (5y+4)−2(7−2y)?
    15·2 answers
  • There are square tiles arranged in a pattern. the pattern has rows that are 5 tiles wide and an unknown number of rows. if you t
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!