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
Find the missing side of the triangle
Katena32 [7]

\\ \sf\longmapsto sin\theta=\dfrac{Perpendicular}{Hypotenuse}

\\ \sf\longmapsto sin74=\dfrac{n}{40}

\\ \sf\longmapsto n=40sin74

\\ \sf\longmapsto n=35(0.96)

\\ \sf\longmapsto n=38.4

7 0
2 years ago
Help me pleaseeeee somebody ASAP
tatyana61 [14]

Answer:

x = 12

Step-by-step explanation:

In similarity triangles angles are congruent.

∠D = ∠A

x² - 8x = 48

x² - 8x  - 48 = 0

x² + 4x  - 12x - 48 = 0

x(x + 4) - 12(x + 4) = 0

(x +4)(x - 12) = 0

x - 12 = 0     {Ignore x + 4 = 0, as measurements won't have negative values}

x = 12

3 0
3 years ago
Which algebraic expression represents one-fifth of x less than 6.2?
Tju [1.3M]
B bsbdhdbhhdjddjdjdndhdhdhdgdggdhdhdhdhdhdhdhdhdhdhd
3 0
3 years ago
Help please!!! AHAHSBHSBDR​
Degger [83]

Answer:

a = 8/29 thus: Step 1 is wrong!

Step-by-step explanation:

Solve for a:

8 - a/2 = 3 (4 - 5 a)

Hint: | Put the fractions in 8 - a/2 over a common denominator.

Put each term in 8 - a/2 over the common denominator 2: 8 - a/2 = 16/2 - a/2:

16/2 - a/2 = 3 (4 - 5 a)

Hint: | Combine 16/2 - a/2 into a single fraction.

16/2 - a/2 = (16 - a)/2:

(16 - a)/2 = 3 (4 - 5 a)

Hint: | Make (16 - a)/2 = 3 (4 - 5 a) simpler by multiplying both sides by a constant.

Multiply both sides by 2:

(2 (16 - a))/2 = 2×3 (4 - 5 a)

Hint: | Cancel common terms in the numerator and denominator of (2 (16 - a))/2.

(2 (16 - a))/2 = 2/2×(16 - a) = 16 - a:

16 - a = 2×3 (4 - 5 a)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

16 - a = 6 (4 - 5 a)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

16 - a = 24 - 30 a

Hint: | Move terms with a to the left hand side.

Add 30 a to both sides:

30 a - a + 16 = (30 a - 30 a) + 24

Hint: | Look for the difference of two identical terms.

30 a - 30 a = 0:

30 a - a + 16 = 24

Hint: | Group like terms in 30 a - a + 16.

Grouping like terms, 30 a - a + 16 = (-a + 30 a) + 16:

(-a + 30 a) + 16 = 24

Hint: | Combine like terms in 30 a - a.

30 a - a = 29 a:

29 a + 16 = 24

Hint: | Isolate terms with a to the left hand side.

Subtract 16 from both sides:

29 a + (16 - 16) = 24 - 16

Hint: | Look for the difference of two identical terms.

16 - 16 = 0:

29 a = 24 - 16

Hint: | Evaluate 24 - 16.

24 - 16 = 8:

29 a = 8

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 a = 8 by 29:

(29 a)/29 = 8/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

Answer: a = 8/29

5 0
3 years ago
Prescription for marilyn jones
sattari [20]

Answer:

The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days

Step-by-step explanation:

Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.

The pharmacy has to provide the tablets for 45 days

So,

Total tablets that will be provided by the pharmacy are:

45*3 = 135 tablets ..

4 0
3 years ago
Other questions:
  • D dollars for 18.4 quarts<br> 24 dollars for 6 quarts
    13·1 answer
  • What are the x and y-intercepts of the line described by the equation?
    10·2 answers
  • A 25 lb bag of rice costs $29.50. What is the cost of the rice per pound?
    9·1 answer
  • Find the distance between the points (-20, 13) and (4, 13).<br> units
    14·1 answer
  • A copy machine makes 32 copies per minute. How long does it take to make 120 copies?
    11·2 answers
  • Good integer examples that would equal 36
    8·1 answer
  • Plzzz help
    11·1 answer
  • You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia
    11·1 answer
  • Pls help! i will mark you brainliest !
    14·1 answer
  • What are the solutions to the equation 2x^{2}=4x-7 ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!