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
zalisa [80]
3 years ago
5

4x + 12 = -7y -y + 12 = 4x Solve with elimination

Mathematics
2 answers:
padilas [110]3 years ago
7 0
\begin{cases}4x + 12 = -7y \\ -y + 12 = 4x \end{cases} \\ \\\begin{cases}4x + 7y = -12 \\ -4x-y =-12 \end{cases} \\+ ------- \\6y=-24\ \ /:6\\ \\y=-\frac{24}{6}\\ \\y=-4

4x+12=-7y\\ \\ 4x+12=-7*(-4)\\ \\4x=28-12\\ \\4x=16\ \ /:4\\ \\x=\frac{16}{4}\\ \\ x=4 \\ \\ \begin{cases}x=4 \\ y=-4 \end{cases}


statuscvo [17]3 years ago
4 0
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
<u>-4x   + 12  </u>=<u> y </u>   this eliminates the x's
          <u>24</u> = -<u> 6y</u>            then divide by - 6
           - 6     - 6
         - 4    = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers<u>
</u>   <u>  16     </u> = <u>4 x  </u>      then divide by 4<u>
</u>       4      =  x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
You might be interested in
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5
stich3 [128]

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

3 0
3 years ago
Someone please help me i don’t know how to do this
statuscvo [17]
Hi I’m doing this for points
7 0
2 years ago
What is the inverse of the given relation y = 7x² ?
beks73 [17]

Answer:

y = square root(x/7)

Step-by-step explanation:

switch x and y

x = 7y^2

solve for y

x/7 = y^2

square root(x/7) =y

y inverse is

y= square root(x/7)

7 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Oksanka [162]

Answer:

X=5

Step-by-step explanation:

Trust me bro also it because if you input 5 into x you wille see that 3(5)+2=17

8 0
2 years ago
Read 2 more answers
a boat traveled 280 miles downstream and back. the trip downstream took 7 hours. the trip back took 14 hours. find the speed of
Harman [31]
40 mph on the way, 20 mph on the way back. 
3 0
3 years ago
Other questions:
  • A cable is <br> 40<br><br> meters long. How long is the cable in decimeters?
    5·1 answer
  • Can someone help plz
    14·1 answer
  • Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
    5·2 answers
  • When the x-coordinate is 4, which function has the greater value: y = 3x2 or y = 3x?
    9·1 answer
  • The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou
    12·1 answer
  • What happens to a sample of matter when its particles lose kinetic energy?
    8·1 answer
  • What’s 6+1 beacause I need to know pleaseee help
    14·3 answers
  • You roll a fair 6 sided die what is p (roll greater than 4)
    12·1 answer
  • If a =3x^2+5x-6 and b =-2x^2 -6x+7 then A - B equals
    9·1 answer
  • Which table of values will generate this graph?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!