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
xz_007 [3.2K]
3 years ago
7

What is the solution to the system of equations x = y + 4 2x - 3y = -2

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer: x = 14 and y = 10

Step-by-step explanation: What we have in the question is a pair of simultaneous equations as follows(

x = y + 4 ———(1)

2x - 3y = -2 ——(2)

Looking at both equations, one of the variables has a coefficient of 1, and as a result of that, we shall use the substitution method.

From equation (1), x = y + 4

Substitute for the value of x in equation (2)

2x - 3y = -2

2(y + 4) - 3y = -2

2y + 8 -3y = -2

-y + 8 = -2

Subtract 8 from both sides of the equation

-y +8 -8 = -2 -8

-y = -10

Divide both sides of the equation by -1

y = 10

Having calculated y, substitute for the value of y into equation (1)

x = y + 4

x = 10 + 4

x = 14

Therefore, x = 14 and y = 10

You might be interested in
For each question (a–e) below, choose one of the answers (i–viii); explain your choice.
Natasha2012 [34]

Answer:

Step-by-step explanation:

given that a deck of cards is shuffled.

we know in a deck there are 52 cards, 13 cards of each variety spade, clubs hearts and dice.  Red are 26 and black are 26.  kings, will be 4.

(a) the top card is the king of spades and the bottom card is the queen of spades?

(iii) 1/52 × 1/52

Top has 1/52 and bottom has 1/52 and these are independent.

(b) the top card is the king of spades and the bottom card is the king of spades?

(viii) None of the above

Because it is impossible.

(c) the top card is the king of spades or the bottom card is the king of spades?

(iv) 1/52 + 1/52

This is the sum of probabilities because there is no common event for these two.

(d) the top card is the king of spades or the bottom card is the queen of spades?

(ii) 1/52 + 1/51 (once king of spades is there, then probability is 1/51 for bottom card)

(e) of the top and bottom cards, one is the king of spades and the other is the queen of spades?

(vii) 2/52 × 1/51

Because this is twice of probability d.

5 0
4 years ago
What's the equation of this line ?
Gennadij [26K]
Y = -3x + 7

good luck!
5 0
3 years ago
Read 2 more answers
ANSWER THE QUESTION FOR BRAINLIEST
Alex17521 [72]
The first one is the answer
5 0
3 years ago
Read 2 more answers
Angel has 8 DVD movies on a shelf, 2 dramas,5 sicence fiction movies, and 1 comedy. Two movies will be selected at random. Deter
mr Goodwill [35]

Answer:

A) Pd = 13/28

B) Pd = 7/16

Step-by-step explanation:

Given;

Drama = 2

Comedy = 1

Science fiction = 5

Total = 8

a) The probability of selectingat least one drama movie Pd;

Pd = 1 - Pd'

Without replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 5/7 = 15/28

Pd = 1 - 15/28

Pd = 13/28

b) with replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 6/8 = 9/16

Pd = 1 - 9/16

Pd = 7/16

8 0
3 years ago
What is the distance from the origin to point A graphed on the complex plane below?
Degger [83]

Answer: False

Step-by-step explanation:

You didn't give the coordinate plane that I was supposed to use while helping you.

3 0
3 years ago
Other questions:
  • Nancy has a shelf over her bed where she keeps her four stuffed teddy bears. How many ways can she arrange the four bears?
    15·1 answer
  • Eileen collected 98 empty cans to recycle and carl collected 82 cans.they packed an equal number of cans into each of three boxe
    14·1 answer
  • a small fictional country had a population of 2,254,000 people in the year 2000. if the population grows steadily at a rate of 3
    15·1 answer
  • 5x + 4y = 12<br> 3x + 8y = -32<br> Substitution
    8·2 answers
  • well, according to y0autube statistics, only a small percentage of people who watch my videos are actually subscribed, so if you
    9·2 answers
  • Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (
    13·1 answer
  • Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.
    5·1 answer
  • I really need help with this one! please help me!
    6·1 answer
  • Which set of fractions is NOT an example of reciprocal fractions? Group of answer
    7·1 answer
  • Simplify: -15 + 23r + 9r^2 - 16r + 10
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!