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
DIA [1.3K]
3 years ago
10

It’s late work and I’ve forgotten how to do it

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable.  You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation.  If the x coefficient is 2, then you have to multiply the entire other equation by -2.  If the y coefficient is -5, then you have to multiply the entire other equation by 5.


10)
-4x + 9y= 9
x - 3y= -6

STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24

STEP 2:
add the top equation and the equation from step 2

-4x + 9y= 9
4x - 12y= -24
the x term cancels out

-3y= 15
divide both sides by -3

y= -5

STEP 2:
substitute the y value in either original equation to solve for x

x - 3y= -6
x - 3(-5)= -6

x + 15= -6
subtract 15 from both sides

x= -21

ANSWER: x= -21; y= -5
____________________

12)
-7x + y= -19
-2x + 3y= -19

STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x

-3(-7x + y)= -3(-19)
21x - 3y= 57

STEP 2:
add the bottom equation and the equation from step 2 to solve for x

-2x + 3y= -19
21x - 3y= 57
the y term cancels out

19x= 38
divide both sides by 19

x= 2

STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation

-7x + y= -19
-7(2) + y= -19

-14 + y= -19
add 14 to both sides

y= -5

ANSWER: x= 2; y=-5

Hope this helps!  :)

You might be interested in
In the situation, simple interest is calculated yearly. How much interest was earned? (Answers above)
Ket [755]
The simple interest formula<span> allows us to calculate I, which is the </span>interest<span> earned or charged on a loan. According to this </span>formula<span>, the amount of </span>interest<span> is given by I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.

I = Prt
I = 5500 (8) (0.025) = 1100  <----second option</span>
3 0
3 years ago
Read 2 more answers
Whers is the place in ur house that ur ferret hides ur keys the most often
mojhsa [17]

Answer:

Under couch

Step-by-step explanation:

8 0
3 years ago
I need help with someone explaining how to find the range of this! This course didn’t explain anything!
zaharov [31]

Answer:

(-infinity,3), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with h(x)=2x+1 if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is (-infinity,3), which is D.

4 0
3 years ago
Write 8-2 in the form<br> 1/a^n<br> where n&gt; 1
Helen [10]

Answer:

\frac{1}{8^2}

Step-by-step explanation:

8^{-2}=\frac{1}{8^2}

8 0
1 year ago
Which of these is a number that can be expressed as a nonrepeating, nonterminating decimal?
faust18 [17]

Answer:

an irrational number

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Adison earned 25$ mowing her neighbors lawn.then she loaned her friend 18$,and got 50$ from her grandmother for her birthday. sh
    13·2 answers
  • Determine the critical value(s) of the test statistic for each of the following small sample tests for the population mean where
    12·1 answer
  • The basic parts of a Cartesian coordinate system are two number _____.
    7·2 answers
  • An artist bought a painting for Rs5600 she spent 1350 for framing it she then sold it for Rs 6950 find her profit or loss
    15·2 answers
  • The angles x and y are complementary. Angle x is supplementary to a 128 degrees angle. What is the measures of angles x and y?
    12·1 answer
  • The height of a box is 5 inches. It’s length is 5 inches more than it’s width. Find the length if the volume is 120.
    15·1 answer
  • You have to find the domain and range
    15·1 answer
  • What are the 5 names for the answer to solving a quadratic? In other words, besides the names roots, zeros, solution, and x valu
    5·1 answer
  • What is the solution to the inequality 2(x+9/4)&gt;3
    5·1 answer
  • What is the speed of a car that goes 299 kilometers in 2 hours?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!