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
Novay_Z [31]
4 years ago
13

Solve the system of equations algebraically.

Mathematics
2 answers:
const2013 [10]4 years ago
7 0
1.

y = x + 2 , y = -3x

Since both are equal to y we can set them equal to each other:

x + 2 = -3x
2 = -4x
-1/2 = x

Now we will substitute the value of x in one of the equation to find the value of the y:

y = x + 2
y = -1/2 + 2
y = 1.5

So the solution of the first system is (-0.5,1.5).

2.

y = x + 20 , y = 6x

Since both are equal to y, we can set them equal to each other:

x + 20 = 6x
20 = 5x
4 = x

Now we will substitute the value of x in one of the equations to find the y:

y = 6x
y = 6(4)
y = 24

So the solution for the second set of equations is (4,24).

Hope this helps :)
Grace [21]4 years ago
3 0
Y = y do you got it?

You might be interested in
6.167 High School Graduates. According to the document Cur-rent Population Survey, published by the U.S. Census Bureau, 30.4% of
Kay [80]

Answer:

Hello your question is incomplete below is the missing value

determine the probability that the number who have a high school degree as their highest educational level is exactly 32

answer : P( x = 32 ) = 0.08

Step-by-step explanation:

Given ;

n = 100 , p = 0.304

np = 100 * 0.304 = 30.4

n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6

applying normal approximation to the Binomial to determine mean value and standard deviation ( because:  np and n(1-p)  > 5 )

mean = np = 30.4

std = \sqrt{np(1-p)} = \sqrt{30.4(69.6)} = 4.6

<u>Determine the probability of exactly 32 </u>

P( X = 32 ) = P( 31.5 < X < 32.5 )

                 = P( (31.5 - 30.4) / 4.6  < X  < (32.5 - 30.4) / 4.6 )

                 = P ( 0.24 < Z < 0.46 )

                 = p( Z < 0.46 ) - p( Z< 0.24 )   ( using standard tables )

                 = 0.6772 - 0.5948 = 0.0824  ≈ 0.08

6 0
3 years ago
Melanie is 5 years younger than twice Michael's age. Which expression represents Melanie's age? *
Sphinxa [80]
Answer: c) 2x-5

We can represent two times micheal’s age as 2x, and 5 years younger would be you subtract 5
So the answer is 2x-5
7 0
4 years ago
Corresponding parts find m
balu736 [363]

Answer:

Angle D is equal to 80.

Step-by-step explanation:

We know that the sides are congruent and that angle ACB is congruent to angle ECD by the vertical angles theorem.

Triangles' angles always add up to 180.

180 - 70 - 30 = 80

angle D is equal to 80.

4 0
3 years ago
Read 2 more answers
What is the equation of line a
iren [92.7K]

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

5 0
2 years ago
Tai's baby brother weighs 3,745 grams. What is his weight in kilograms?
marin [14]
3.745 kilograms, because 1 gram =.01 kilograms
8 0
3 years ago
Read 2 more answers
Other questions:
  • If a=2, b-3 and c=5. Thr value of 4a-2b+5c are
    15·1 answer
  • The penny size d is given by the literal equation d = 4n - 2, solve for n
    9·1 answer
  • If the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?
    14·2 answers
  • Question 3
    15·1 answer
  • Addie selects from 12 shirts, 4 pair of pants, 5 jackets and 2 pair of shoes. How many possible outfits can she make?
    7·1 answer
  • The quotient of a number and 7 decreased by 5 is 10. Write an equation and solve it to find the missing number.
    12·1 answer
  • Tell whether (5. 10) is a solution of y = 6x – 18
    6·1 answer
  • [This is 50 points and I’ll give brainliest. Let’s strengthen these Plato answers for math, eh?]
    6·1 answer
  • 100 POINTS AND BRAINLIEST!!
    14·2 answers
  • Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!