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
IgorC [24]
3 years ago
8

I need to find the value of x and y please help.

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

x = -6.5 y= 3.75

Step-by-step explanation:

Add angle 1 and 2 since they are both alternate interior angles

6x + y - 4 = x - 9y + 1

- x  + 9y  - x  + 9y       Subtract x and add 9y to both sides

5x + 10y - 4 = 1          

             + 4 + 4           Add 4 to both sides

5x + 10y = 5

-5x            - 5x            Subtract 5x from both sides

10y = -5x + 5               Divide both sides by 10 to solve for y

y = -1/2x + 1/2        

Use this equation to solve for x in the original equations

6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1

6.5x - 3.5 = x + 4.5x - 9 - 1      Solve in the parentheses

6.5x - 3.5 = 5.5x - 10               Solve the right side of the equation

        + 3.5           + 3.5             Add 3.5 to both sides

6.5x = 5.5x - 6.5

- 5.5x - 5.5x                             Subtract 5.5x from both sides

x = -6.5

Use the new value of x to solve for y

6(-6.5) + y -4 = -6.5 -9y + 1

-43 + y = -5.5 -9y         Simplify both sides

+43         + 43               Add 43 to both sides

y = 37.5 - 9y

+ 9y       + 9y                 Add 9y to both sides

10y = 37.5

y = 3.75

You might be interested in
Area as a sum (-2+x)5
Nezavi [6.7K]

Answer:

21

Step-by-step explanation:

lol

5 0
2 years ago
How could you use the Pythagorean Theorem in life
ruslelena [56]
Repairing windows when using a ladder and bushes are in the way....viewing the size if a television
3 0
3 years ago
There are 10 men and 8 women who want to be a part of a commitee of 5 people. If 2 women and 3 men are chosen, how many possible
icang [17]
Their can be 6 arrangements of (2 men to
3 women, and opposite 5 men to 0 women and opposite, 4 men and 1 woman and opposite. so therefore their are 6 arrangements
4 0
3 years ago
Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?
Svetllana [295]
D because it can't be unique since many triangles can share these characteristics. It can't be more than one triangle and the triangle is possible.
5 0
3 years ago
De'Jhan went to the movies during our snow days and watched all 8 Spider-Man movies. Each movie cost $11. How much did De'Jhan s
den301095 [7]

Answer:

$88 is the answer

3 0
2 years ago
Read 2 more answers
Other questions:
  • Each of the 3 twins sleep in a twin bed. They all need sheets. At a store they have sheets that are 50% off and each sheet is 18
    12·1 answer
  • What is 100 divided by -60
    10·2 answers
  • WHO AM I? “I am between 50 and 100. I am divisible by 3 and 4. My tens digit is double my ones digit.
    14·1 answer
  • What is the formula for the area of a square?
    5·2 answers
  • Help I WILL MARK IF RIGHT
    10·2 answers
  • Let f(x)=3x+5 and g(x)=x2. find g(x)/f(x) and state it’s domain
    11·2 answers
  • The photo contains the question​
    5·1 answer
  • Brass is an alloy of zinc and copper. if 30%of the content is zinc, find the weight of zinc and copper in 300 grams of brass​ if
    7·1 answer
  • PLEASE HELP!! I’LL GIVE BRAINLIEST!!
    10·1 answer
  • If anyone can help that would be great ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!