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
Lilit [14]
3 years ago
11

2x + y = -8 3x - 5y = -25 It’s substitution

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

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

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

You might be interested in
#17-1: Simplify this complex fraction. 1/3 / 6/9
Gnesinka [82]

\huge{\boxed{\frac{1}{2}}}

To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. \frac{1}{3} \div \frac{6}{9} = \frac{1}{3} * \frac{9}{6}

Multiply the numerators and the denominators separately. \frac{1}{3} * \frac{9}{6} = \frac{1*9}{3*6} = \frac{9}{18}

Simplify by dividing both sides of the equation by 9. \frac{9 \div 9}{18 \div 9} = \boxed{\frac{1}{2}}

3 0
3 years ago
Read 2 more answers
Sales for a company were 3 million dollars more the second year than the first, and sales for the third year were doubled the sa
Sati [7]

Year 3 = 2s

Year 2 = 3 + x

Year 1 = x

s = second year

x = first year

2s = 26

s = 13

The second year they made 13 million

13 - 3 = 10

x = 10

They made 10 million the first year.

6 0
3 years ago
Read 2 more answers
Can someone help me real fast please.
lilavasa [31]

Answer:

Step-by-step explanation:i wanted to ask this questionWhich property of metals is Luis most likely going to demonstrate using these materials

6 0
3 years ago
Read 2 more answers
Tim has been trying to lose weight. Through exercise, he was able to lose 5 pounds over 2 weeks. However, Mary lost 10 times as
wolverine [178]
I think 50 pounds. I am not sure.
7 0
3 years ago
Read 2 more answers
Ecology: Wetlands Government agencies carefully monitor water quality and its effect on wetlands (Reference: Environmental Prote
Olegator [25]

Answer:

a) The variable of the study is: milligrams of nitrogen per liter of water.

This is the amount that needs to be measured and analyzed to reach conclusions in the study.

b) The variable is quantitative. The quantitative variables are those that represent quantities. This variables can be measured on a continuous or discrete scale. Then, all the variables that you can measure or count are quantitative variables(height of trees, number of passengers per car, wind speed, milligrams of nitrogen per liter, etc). On the other hand, qualitative variables are those that can’ t be measured, and they represent attributes, like apple colors (red, green), size of trousers (small, medium, large) and so on.

c) The population under study is the milligrams of nitrogen per liter of water that are in the entire lake. You can estimate the parameters of the population by taking samples (In the example, 28 samples are taken).

7 0
3 years ago
Other questions:
  • Los pasos para hacerlo
    8·1 answer
  • PLEASE HELP!! BRAINLIEST ANSWER AND FASTEST ANSWER GETS TON OF FREE POINTS...MATH WHIZZES, HELP ME OUT. FORGOT HOW TO DO THIS.
    10·1 answer
  • You work 40 hours a week at a factory and make $2.00 per piece you create. It takes you
    10·2 answers
  • Which is bigger 12.5% or 3/20
    9·2 answers
  • What is verbal rule and symbolic rule
    7·1 answer
  • Analyzing Dialogue
    13·2 answers
  • According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To det
    6·1 answer
  • Manuel painted 0.75 of a rectangular banner green. After the paint dried, he painted 0.6 of the green area orange. What part of
    11·1 answer
  • What is the median of these numbers<br> 32, 16, 54, 60, 26, 32
    11·2 answers
  • PLs help...........................
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!