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
icang [17]
3 years ago
7

Multiply each equation by a number that produces opposite

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

Step-by-step explanation:

We could multiply the first equation by -3 and, separately, multiply the second equation by 4.  The result would be:

-12x - 15y = -21

12x  - 8y = -48

the x terms now cancel.  The result is:

- 15y = -21

- 8y = -48

----------------

-23y = -69, or y = 3.  If y = 3, then 3x - 2y = -12 becomes:

3x - 2(3) = -12, or

3x - 6 = -12, or    3x = -6, and so x = -2.

The solution is (-2, 3).

You might be interested in
GEOMETRY ONE QUESTION PLZ HELP
earnstyle [38]
Segment addition postulate
Substitution
Distribution Property of Equality
Simplification, or Adding like terms
Subtraction property
Division Property
7 0
3 years ago
Solve this system of equations using the Substitution method.<br><br> 3x + y = -2<br><br> y = 2x + 3
alukav5142 [94]

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

6 0
2 years ago
X²+y²-6x+14y-1=0<br> and please show your work so I can learn
Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0
2 years ago
a cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of cubic inch, of the con
natita [175]
12.9986 would be the answer from a calculator but I'd say it's 12.9. Hope this helped!
8 0
3 years ago
How many degrees does a wheel turn in one complete rotation
lara [203]

Answer:

360 degrees

Step-by-step explanation:

If a wheel turns all the way around, or one complete rotation then it is 360 degrees

4 0
3 years ago
Read 2 more answers
Other questions:
  • 1) 15^2=4^2+2(32)x<br><br> 2) 105=45+5x
    10·1 answer
  • PLEASE HELP ASAP WILL GIVE 30 POINT FOR WHOEVER ANSWER IT AND WILL MARK BRAINIEST
    15·2 answers
  • Can someone please help me? ill give brainliest for correct answer!
    8·2 answers
  • George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is
    6·1 answer
  • Wich is bigger two thirds of 30 or one fifth of 25?
    6·1 answer
  • Whats the answer to n/2+5=3? and how is it done? btw the n/2 is a fraction
    9·1 answer
  • Identify the coefficients of the expression -9 + 8x - 12
    8·2 answers
  • A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point
    14·1 answer
  • Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.​
    15·1 answer
  • Figure P, the small rectangle, was dilated with the origin as the center of dilation to create Figure Q, the large rectangle.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!