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Artyom0805 [142]
1 year ago
6

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Mathematics
1 answer:
Flura [38]1 year ago
3 0

The solutions to the given system of equations are x = 6 and y = -5

<h3>Simultaneous linear equations</h3>

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

Learn more on Simultaneous linear equation here: brainly.com/question/12647791

#SPJ1

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If i have 4 times the money of my brother. our totl is d dollars. how much money do each of us have?
mars1129 [50]
Answers 5x=d that’s the answer nothing else
5 0
2 years ago
The ratio of dogs to cats in a shelter is 9:15.if the total number of cats and dogs is 96.how many dogs are there?
ch4aika [34]

There are 36 dogs in the shelter.

<h3>How to find the total number of dogs in the shelter?</h3>

The ratio of dogs to cats in the shelter is given as 9:15.

The total number of dogs and cats is given as 96.

Let the constant of proportionality be x.

The total number of dogs is 9x and the total number of cats is 15x.

This means that:

9x + 15x = 96

24x = 96

x = 4.

The total number of dogs in the shelter = 9 × 4

= 36

Therefore, we have found that there are 36 dogs in the shelter.

Learn more about ratios here: brainly.com/question/2914376

#SPJ4

6 0
2 years ago
If 3(d+1)=4(d–2)<br> then what is the value of 5(d–2)
Sonja [21]

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

3 0
2 years ago
What is 3/1,000 as a decimal
Katen [24]

Answer: 3/1000 as a decimal is 0.003.

Explanation;

3/10 = 0.3

0.3/10 = 0.03

0.03/10 = 0.003

3 0
2 years ago
Read 2 more answers
Find the value of x. Write your answer in simplest form.
slega [8]

Answer:

x = (9/2)√2

Step-by-step explanation:

The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:

cos 45 degrees = x/9

To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2).  Rationalizing the denominator, we get x = (9/2)√2

7 0
2 years ago
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