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
hammer [34]
3 years ago
9

Solve the system by elimination method 7x+5y=-25 5x+3y=-23

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

The solution is x = -10, y = 9

Step-by-step explanation:

Given equations are:

7x+5y = -25\ \ \ \ Eqn\ 1\\5x+3y = -23\ \ \ Eqn\ 2

Multiplying equation 1 by 3

3(7x+5y) = -25 * 3\\21x+15y = -75\ \ \ Eqn\ 3

Multiplying equation 2 by 5

5(5x+3y) = -23 * 5\\25x+15y = -115\ \ \ Eqn\ 2

Subtracting equation 3 from equation 4

(25x+15y) - (21x+15y) = -115 - (-75)\\25x+15y-21x-15y = -115+75\\4x = -40

Dividing both sides by 4

\frac{4x}{4} = \frac{-40}{4}\\x = -10

Putting x = -1 in equation 1

7(-10)+5y = -25\\-70+5y = -25\\5y = -25+70\\5y = 45

Dividing both sides by 5

\frac{5y}{5} = \frac{45}{5}\\y = 9

Hence,

The solution is x = -10, y = 9

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

You might be interested in
There are 5 kids who want to start a game of Red Rover. Then 12 more kids come to play. If there are 2 teams in Red Rover, which
mixas84 [53]

Answer: The answer is one will have 8 and one will have 9 so roughly 8

Step-by-step explanation

So to start we need to add all the kids together that are playing

5+12= 17

Now we need to divide the number of kids by the number of teams that there are

17 divided by 2=8.5

So each team will have 8 but one will have nine

Hope this helps :D

7 0
2 years ago
Read 2 more answers
This table shows the number of customers who have come in to Trent’s Hobby Shop each day since he opened the doors.
Alona [7]

Since both the input and the output assume only integer values, the function is classified as discrete.

<h3>What are continuous and discrete variables?</h3>

  • Continuous variables: Can assume decimal values, hence they are represented by rational numbers.
  • Discrete variables: Assume only countable values, such as 1, 2, 3, …, hence they are represented by whole numbers, or even integers if it can be negative.

In this problem, all values on the table assume only integer values, hence the function is classified as discrete.

More can be learned about classification of variables at brainly.com/question/16978770

#SPJ1

3 0
1 year ago
One side of a triangle measures 10 inches. Which could be the measures of the other 2 sides of the triangle?
stellarik [79]

Answer:

B. 4 and 6 in

Step-by-step explanation:

The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in

6 0
3 years ago
Planes S and R both intersect plane T Which statements are true based on the diagram? Select three options OPlane S contains poi
jeka94

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option (1).

Planes S contains points B and F.

False.

(Point B lies on plane S and point F lies on plane R)

Option (2).

The line containing points A and B lie on the plane T.

True.

(points A and B lie on plane T)

Option (3).

Line v intersects lines x and y at the same plane.

False.

Option (4).

Line z intersects plane S at point C.

True.

Option (5).

Planes R and T intersect at line y.

True.

5 0
3 years ago
a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how
vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

2x = 10

The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

The age of the grandson is 7


7 0
3 years ago
Other questions:
  • The overnight temperature in Tampa never reached below 40 f during November which inequality shows that
    5·1 answer
  • Mt Whitney in California is 14,494 feet tall Denali in Alaska is 5,826 feet taller than my Whitney how tall is Denali
    11·2 answers
  • a student tries out for the track and runs 45 seconds. The coach tell her she will have to cut her time 50% to make the team. ho
    15·1 answer
  • Use the above image to solve the problem
    5·2 answers
  • Simplify: 2 (x-6) + 8x<br><br> when x = 3
    9·1 answer
  • Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
    10·1 answer
  • BRAINLIEST AND 100 POINTS! WILL REPORT IF WRONG
    13·1 answer
  • Enter an algebraic expression that represents eight less than the sum of v cubed and sixty-four.
    7·2 answers
  • Write 2.2 as a mixed number.
    9·1 answer
  • -3x+6y=15 and -3x-2y=-1*
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!