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
Annette [7]
3 years ago
7

Solve the system of equations. 8x – 3y = 1 –2x + 3y = 11 A. (–1, –3) B. (–1, 3) C. (2, 5) D. (5, 2)

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

C. (2, 5)

Step-by-step explanation:

Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:

(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x

9y = 45 . . . simplified; next we divide by 9

y = 5 . . . . . matches choice C

_____

Check

8(2) -3(5) = 16 -15 = 1

-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations

You might be interested in
Opposite reciprocal of 1/3
luda_lava [24]

Answer:

-1/3

Step-by-step explanation:

hope this helps

3 0
2 years ago
Read 2 more answers
Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angl
Serhud [2]

Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

8 0
3 years ago
joe and Bill are working on building a stone wall that will be 120 feet long. Joe works from one end and is able to build one te
konstantin123 [22]

Joe completes an average of (10 ft)/(5 h) = 2 ft/hour. Bill completes an average of (10 ft)/(4 h) = 2.5 ft/hour. Together, they complete 2+2.5 = 4.5 ft/hour. At that rate, it will take them

... (120 ft)/(4.5 ft/h) = 26 2/3 h

4 0
3 years ago
Read 2 more answers
Which equation demonstrates the distributive property? A) 2 (5 + 7) = 2 (7 + 5) Eliminate B) 2 (5 + 7) = 2 × 5 + 2 × 7 C) (2 × 5
Gemiola [76]

B) 2 (5 + 7) = 2 × 5 + 2 × 7

Distributing the two multiples the five and seven and adds there them together.

7 0
2 years ago
Read 2 more answers
Three consecutive integers have a sum of 87. Find the integers.
ozzi

Answer:

  • 28, 29, 30

Step-by-step explanation:

<u>Let the integers be x- 1, x and x +1, then:</u>

  • x - 1 + x + x + 1 = 87
  • 3x = 87
  • x = 29

The integers are 28, 29, 30

8 0
3 years ago
Read 2 more answers
Other questions:
  • The polygons below are similar. Find the value of x.
    12·1 answer
  • If the pattern shown continues how many black keys appear on an organ with a total of 240 keys
    7·1 answer
  • A number and it's absolute value are equal. If you subtract 2 from the number, the new number and it's absolute value are not eq
    9·1 answer
  • a store manager timed janette to see how long it would take her to fold and put away a sweater, a shirt,a pair of pants, and a s
    7·2 answers
  • Solve for a.<br><br> 2(a+4)+6a=48
    6·2 answers
  • Twice a number is equal to 35 more than seven times the number. Find the number
    14·1 answer
  • If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypote
    9·2 answers
  • In ordering a café latte, you have a choice of whole, skim or soy milk; small, medium or large; and either one or two shots of e
    14·2 answers
  • Lei is icing some cupcakes. She has 3/4 cups of frosting. Each cupcake needs 3/16 cup of frosting. How many can she frost?
    11·1 answer
  • Round 849,354 to the nearest hundredth.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!