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
Digiron [165]
3 years ago
7

Solve the following system of linear equations.

Mathematics
2 answers:
andrey2020 [161]3 years ago
6 0
To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.

First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3

Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42

Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3

Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8

So, we can conclude that the correct answer is B. (-8,3)
Tasya [4]3 years ago
6 0

B

given the 2 equations

3x - 5y = - 39 → (1)

6x + 2y = - 42 → (2)

multiply (1) by - 2

- 6x + 10 y = 78 → (3)

add (2) and (3) term by term to eliminate x

(6x - 6x) + (2y + 10y ) = (- 42 + 78 )

12y = 36 ( divide both sides by 12 )

y = 3

substitute this value in either of the 2 equations and solve for x

(2) → 6x + 6 = - 42 ( subtract 6 from both sides )

6x = - 48 ( divide both sides by 6 )

x = - 8

solution is (- 8, 3 ) → B


You might be interested in
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

brainly.com/question/10187910

#SPJ1

5 0
2 years ago
Joseph has $3.00 in his piggy bank and he adds $0.75 each day. Kelsey has $5.25 in her piggy bank and she spends $0.25 each day.
12345 [234]

Answer:

They will have the same amount of money in their piggy banks when they each reach $6. (4 days for Joseph, 3 for Kelsey.)

Step-by-step explanation:

Joseph has $3.00 and will add $0.75 cents to it each day. So for the first day he will have $3.75. Then, $4.50. Then, $5.25. Then on the fourth day, he will have $6.

Kelsey has $5.25 and will add $0.25 each day. For the first day, she will have $5.50 in her piggy bank. Then, $5.75. Then $6.

5 0
4 years ago
What’s the circumference of a circle with a diameter of 22 inches?
WINSTONCH [101]

Answer:

69.12

Step-by-step explana

4 0
3 years ago
What does the slope of the graph
balu736 [363]
The slope of a graph is rise over run. So count how many units up you move and put that over how many units right you move. If you are moving down or to the left it would be negative.
8 0
3 years ago
1. Rotate segment C D 180° around point D.
Yuliya22 [10]

Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C

Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.

Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.

Best of Luck!

3 0
4 years ago
Other questions:
  • Our solar system is 1.18 × 1013 meters in diameter, and the Milky Way galaxy is 7.8 × 1020 meters in diameter. How many times wi
    11·1 answer
  • Help me out with this
    11·1 answer
  • What is the area of the polygon below ?
    13·1 answer
  • Which angles are shown in the diagram?
    14·2 answers
  • What does this line look like? y = - 3/7x + 1
    10·1 answer
  • Draw a polygon with at least two right angles what am I
    15·2 answers
  • In a study of births from New York State, data were collected from 4 hospitals and coded as follows: (1) Albany Medical Center (
    11·1 answer
  • Tell whether this equation represents a direct variation. If so, identify the constant of variation. 4y=x. Please help I really
    9·1 answer
  • PLS HELP MEEEEEEE IM CRYING RN IM GONNA FAIL
    12·1 answer
  • 100 POINTS! <br><br> PLEASE HELP! <br><br> ASAP!<br><br> Best way to study for a math test?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!