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
Reika [66]
3 years ago
14

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

<h2>x = -3, y = 6 → (-3, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2y=-x+9\\3x-6=-15&\text{add 6 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\3x=-9&\text{divide both sides by 3}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\x=-3\end{array}\right\qquad\text{put the value of x to the first equation}\\\left\{\begin{array}{ccc}2y=-(-3)+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=3+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=12&\text{divide both sides by 2}\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}y=6\\x=-3\end{array}\right

You might be interested in
What is the solution to the system shown?
Mice21 [21]

Answer:d

Step-by-step explanation:

16-4=12 and 16+4=20

5 0
3 years ago
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance trav
natima [27]
First we rewrite the table:
 20    30
 50    75
 80    120
 150   ?
 We observe that for each 30 number of hops, the distance increases by 45 feet.
 We must find the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = (75-30) / (50-20)
 m = 1.5
 Then, the line is:
 y = 1.5x
 We substitute x = 150
 y = 1.5 * (150)
 y = 225
 Answer:
 
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
3 0
3 years ago
Read 2 more answers
Select the correct answer. What are the intercepts of y = 4x − 2?
ValentinkaMS [17]

x-intercept(s):  (1/2, 0) or (0.5, 0)

y-intercept(s):  (0,  −2)

8 0
3 years ago
Read 2 more answers
An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. the man
bezimeni [28]

Answer:

3) One-sided,compare two populations

Step-by-step explanation:

A manufacturer wants to investigate the whether there is an increase in the mean gas mileage of mid-sized sedan having new type of tire compared to mean gas mileage of mid-sized sedan not having new type of tire.

So, there are two populations :

population 1 : mid-sized sedan having new type of tire.

population 2 : mid-sized sedan not having new type of tire.

So, two populations are being compared.

Also, A manufacturer is investigating whether there is an increase in mean gas mileage.The alternative hypothesis will be right tailed and so, this corresponds to one sided test.

6 0
3 years ago
The problem is in the picture
Afina-wow [57]
Angles 1 and 2
Angles 3 and 4
Angles 5 and 6
4 0
3 years ago
Other questions:
  • Who is good with elimination and substitution methods?. i need help
    8·1 answer
  • I need help on this and can you tell me how to solve it
    14·1 answer
  • Please help I’ve been stuck on it forever. :(
    13·1 answer
  • No thinks that 12,000 g is greater than 20 kg because 12,000&gt;20
    6·1 answer
  • BRAINLIEST PLS HALP!!
    5·1 answer
  • A personal computer manufacturer buys 36% of its chips from Japan and the rest from the United States. Of the Japanese chips, 1.
    13·1 answer
  • Rewrite using a single positive exponent 5^6/5^4
    15·1 answer
  • Given h ( x ) = − 3 x − 2, solve for x when h ( x ) = 1
    6·1 answer
  • The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3
    7·2 answers
  • PLSS HELPP IMPORTANT<br> (WILL GIVE BRAINLIEST)!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!