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
hichkok12 [17]
3 years ago
9

Solve the system of equations below.

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

A. (3, -3)

Step-by-step explanation:

Let's use the addition/elimination for this to avoid fractions.  You could solve one of the equations for y or x and then sub that value into the other equation, but you would have to deal with fractions along the way, so let's just not.  Using the addition/elimination (they're the same thing; math books sometimes use one or the other), we line up our equations:

 5x  +  2y  =  9

 2x  -  3y   = 15

It looks like if we want to eliminate the y terms, we can multiply the top equation by 3 and the bottom equation by 2 to get a whole new set of equations:

 15x  +  6y  =  27

  4x  -   6y  =  30

Now we can see that when we add down the columns, the y's cancel each other out.  6y's minus 6y's leaves us with no y's.  What we are left with is

19x = 57 so

x = 3.

Now we will sub that 3 back in to either of the original equations to solve for y:

2(3) - 3y = 15 and

6 - 3y = 15 and

-3y = 9 so

y = -3

The solution set then is (3, -3)

You might be interested in
1) Who in your class has the most pets?
Bess [88]

Answer:

How many siblings does the average 6th-grade student have?

Step-by-step explanation:

In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.

6 0
3 years ago
1. Rewrite the expression. Use an exponent, rather than repeated multiplication. (–4)(–4)
AlekseyPX
-4^2 is the same as -4*-4

-4*-4=16

-4^2= 16 

-4^2 is the exponent.

I hope this helps!
~kaikers
4 0
3 years ago
Which ones ARE in scientific notation?
Rina8888 [55]

Answer:

C

Step-by-step explanation:

Cause C met the rules of scientific notation which is:

  • (First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)
7 0
2 years ago
solve the system of equations and choose the correct answer from the list of options. 2x y = -4 y = 3x 2(-6/5 , -8/5)(-8/5 , -6/
natita [175]
If you would like to solve the system of equations 2x + y = -4 and y = 3x + 2, you can do this using the following steps:

<span>2x + y = -4
y = 3x + 2
</span>_________
<span>2x + y = -4
</span>2x + 3x + 2 = -4
5x = -4 - 2
5x = -6
x = -6/5

y = 3x + 2 = 3 * (<span>-6/5) + 2 = -18/5 + 10/5 = -8/5
</span>
(x, y) = (-6/5, -8/5)

The correct result would be (-6/5, -8/5).
6 0
3 years ago
Find the value of each variable. X and y. 26 30
meriva

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

                   cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

3 0
3 years ago
Other questions:
  • the perimeter of parallelogram ABCD is 78 cm. AD is more than twice AB. find the lengths of all four sides of ABCD.
    14·1 answer
  • Jason’s savings account has a balance of $1847. After 5 years, what will the amount of interest be at 6% compounded semiannually
    7·2 answers
  • For any normal distribution, the probability of randomly selecting a z-score less than z = 1.40 is p = 0.9192.
    7·1 answer
  • &gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;
    14·1 answer
  • Question 3 Unsaved
    5·2 answers
  • I NEED HELP!!!!!In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
    13·1 answer
  • WILL GIVE BRAINLEIST SUPER EASY NEED TO TURN IN BY 9:45 PLS HURRY.
    7·1 answer
  • In the data table shown, if x = 20, then y=
    5·2 answers
  • Write this number in standard form.<br> 4 million, 5 thousand, and twenty-one thousandths
    14·1 answer
  • A bakery did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!