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
seraphim [82]
2 years ago
5

Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Mathematics
2 answers:
Helga [31]2 years ago
6 0

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form  y = mx + b

That locates the y-intercept, <em><u>b</u></em> and you can use the slope, <em><u>m</u></em> to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation:  Isolate y on the left

<u>First equation:</u>

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12   Divide both sides by 6

y = -4x/6 -12/6   Simplify

y = -2x/3 - 2   The y-intercept is -2, <u>the slope is -2/3</u>

<u>Second equation:</u>

2x + 3y = 6  Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3  Simplify

y = –2x/3 +2   The y-intercept is -2, <u>the slope is -2/3  </u>

At this point we see that the slopes are the same, so the lines are parallel.

kodGreya [7K]2 years ago
3 0
4x + 6y = -12
2x + 3y = 6
You might be interested in
The students in the After-School Club ate 12 grapes per minute. After 9 minutes, there were 32 grapes remaining. The table shows
lesantik [10]

Answer:

Grapes

Step-by-step explanation:

The rate of change for the grapes was -12 grapes per minute.

To calculate the rate of change for the carrots, use the slope formula m = \frac{y_{1}-y_{2}  }{x_{1}-x_{2}  }. In this case, m is the rate of change, time is x, and the carrots remaining is y.

m = \frac{118-136}{8-6}  = \frac{-18}{2} = -9

The decrease in grapes was much greater than the decrease in carrots, so therfore the students ate the grapes at a faster rate.

5 0
2 years ago
Read 2 more answers
Write an expression to find how many times Jason will blink in 60 minutes if he continues to blink 19 times a minute.
expeople1 [14]

Answer:

19*60

Step-by-step explanation:

7 0
2 years ago
What’s the cosine of
Vsevolod [243]

Answer:

√23/√45 or √23/3√5

Step-by-step explanation:

Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.

4 0
3 years ago
An angle of less than 90° is called an.....
Arisa [49]

Answer:

Acute angle

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Need Help Please (b) Solve for x. Show each step of the solution. 3.5(7 – x) + 28 = 97 – 4.5(3x + 21)
leonid [27]
 it is   13   1/3 .   hope it helps
4 0
3 years ago
Other questions:
  • I am so lost. Please help.
    10·1 answer
  • When turning a fraction into a simplified one do you make in to a proper fraction
    5·1 answer
  • Distributive property
    6·2 answers
  • If m HELP ASAP PLEASE
    12·1 answer
  • PLEASE HELP!!! WILL GIVE BRANLIEST
    11·2 answers
  • What is the value of x in 6 - 4x = 7x - 9x + 10
    15·2 answers
  • Having trouble to find the answer help plssssss
    12·2 answers
  • Find the missing endpoint when M is the midpoint (-1,6) (7,9) Р M Q​
    5·1 answer
  • A line passes through (1,6) and has a slope of 9
    5·1 answer
  • 20 POINTS+BRAINLIEST 8TH GRADE MATH PART 4: Imaginary operations- please explain how you came to the answer because this doesn't
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!