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
Allushta [10]
1 year ago
14

Answer the equation

Mathematics
1 answer:
ivanzaharov [21]1 year ago
4 0

Answer:

x = -2, y = -4

coordinate: (-2, -4)

Step-by-step explanation:

Given system of equations:

a) 4x - 7y = 20

b) x - 3y = 10

1. Make x the subject in the <em>second</em> equation:

⇒ x - 3y = 10 [add 3y to both sides]

⇒ x - 3y + 3y = 10 + 3y

⇒ x = 3y + 10

2. Substitute the given value of x into <em>first</em> equation:

⇒ 4x - 7y = 20

⇒ 4(3y + 10) - 7y = 20 [distribute 4 through the parentheses]

⇒12y + 40 - 7y = 20 [combine like terms]

⇒ 5y + 40 = 20 [subtract 40 from both sides]

⇒ 5y - 40 - 40 = 20 - 40

⇒ 5y = -20 [divide both sides by 5]

⇒ 5y ÷ 5 = -20 ÷ 5

⇒ y = -4

3. Find the value of x by substituting the given value of y into x = 3y + 10:

⇒ x = 3y + 10

⇒ x = 3(-4) + 10 [multiply]

⇒ x = -12 + 10 [add]

⇒ x = -2

4. Check your work:

<em>a) 4x - 7y = 20</em>

⇒ 4(-2) - 7(-4) = 20

⇒ -8 + 28 = 20

⇒ 20 = 20 ✔

<em>b) x - 3y = 10</em>

⇒ -2 - 3(-4) = 10

⇒ -2 + 12 = 10

⇒ 10 = 10 ✔

This system of equations has a solution at (-2, -4).

Learn more here:

brainly.com/question/27849342

brainly.com/question/27728118

You might be interested in
How many feet are in 84 yards. (im really bad at converting) :(
Gre4nikov [31]
1 yard = 3 feet, so we would do 3×84, which is 252.

There are 252 feet in 84 yards.
7 0
3 years ago
Read 2 more answers
The grocery store charges $10.35 for 5 bags of oranges.If someone bought 9 bags of oranges,how much would it cost then
Crank
It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63
3 0
3 years ago
What is the product? (-2x-9y^2)(-4x-3)
telo118 [61]

Answer:-8x^2-6x+36xy^2+27y^2

Step-by-step explanation:

using the FOIL method

6 0
3 years ago
Read 2 more answers
Barbara deposited $300 in the bank. If the bank pays her simple interest at the rate of 4 percent per year, how much money will
grigory [225]

Answer:

309

Step-by-step explanation:

The formula for simple interest is

A = P(1 + rt)

where A is the amount of money in the account

P is the principal invested

r is the interest rate in decimal form

t is the time invested in years

We know

P = 300

r = 4% = .04

t = 9 months = 9 months * 1 year/12 months = .75 year

Substituting into the equation

A = 300(1 + .04*.75)

  =300 (1+.03)

  =300(1.03)

   = 309

4 0
3 years ago
One cause of major climate changes is the position of Earth relative to the _________________.
skad [1K]

Answer:

The recent role of the greenhouse effect

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches short
    8·1 answer
  • at the zoo, there were 3 times as many monkey as lions. Tom counted a total of 24 monkey and linions. how many monkey were there
    9·1 answer
  • A bicyclist started riding at 8:00am. The diagram below shows the distance the bicyclist has traveled at different times. What w
    11·1 answer
  • 0+3y=31<br> 16-16 <br> 3y = 21<br><br><br> 34 = 21<br> 3 3<br><br> 4=7
    11·1 answer
  • A 30-foot ladder makes a 60° angle with the
    10·1 answer
  • Give the domain and range of each relation
    14·1 answer
  • FREE BRAINLIEST!
    13·1 answer
  • All of the following are true statements except
    9·1 answer
  • Which expressions are equivalent to the given expression.<br> y^-8y^3x^0x^-2​
    14·1 answer
  • 15. The cost of one yard of fabric is $7.99. What is the cost of 0.51 yd of fabric correct to 2 decimal places?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!