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
mote1985 [20]
3 years ago
15

5x + 7y = 17 x + 4y = 19

Mathematics
1 answer:
REY [17]3 years ago
5 0
<h2>Answer:</h2>

5x + 7y = 17 ....(1)

x + 4y = 19 .....(2)

<u>From equation 2</u>

x + 4y = 19

x = 19 - 4y

<u>Putting the value of x in Equation (1)</u>

5(19 - 4y) + 7y = 17

95 - 20y + 7y = 17

- 20y + 7y = 17 - 95

-13y = -78

y = \frac{78}{13}

y = 6

<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>

x + 4y = 19

x + 4(6) = 19

x + 24 = 19

x = 19 - 24

x = -5

<u>Therefore, the value of y is 6 and value of x is -5</u>

You might be interested in
Isabella purchased 3 books from the book store. She now owns 11 books that she wants to read before the end of the year. If x re
Katarina [22]
Well she had 8 books before [11-3= 8]  11-3=x
8 0
3 years ago
I need the angle measurements for each letter in this image
Blizzard [7]

Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

100+c=180.

Move the 100 over to the other side.

100-100+c=180-100

Simplify.

∠C=80°

Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.

∠E=70°

Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

80+70+D=180

Simplify this.

150+D=180

Now we move the 150 over to the other side to get D by itself.

150-150+D=180-150

Simplify.

D=30

∠D=30°

Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.

∠A=30°

We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

30+B=180

Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

∠B=150°

I hope this helps!

7 0
3 years ago
Read 2 more answers
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the secon
Talja [164]
69.92 when you add them all up and divide it you get 69.92
3 0
3 years ago
Express each in cubic metres:(a)600litres​
OverLord2011 [107]
It will be 600 cubic meters because cubic meters and liters are equal same goes with cubic centimeters and milliliter
5 0
3 years ago
An elevator descends into a mine shaft at the rate of 6 m/min. If the descend starts from 20 meter above the ground level, how l
levacccp [35]
60 minutes. Take how far it is above ground (20 m) and add it to the absolute value of how far it is below ground (340 m) to get 360 meters, which you divide by the rate of descent (6 m/min) to get 60 minutes.
5 0
3 years ago
Other questions:
  • As a valet at the mall, Davis works 7-hour shifts. He earns $7 per hour and keeps 60% of his tip money. How much does Davis need
    8·1 answer
  • A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meter
    6·1 answer
  • A can of tuna has a shape similar to the shape of a large water take the can of tuna has a diameter of 3 inches and a height of
    15·2 answers
  • {(5,4),(4,7),(5,3)} is this a function. Explain why?
    5·2 answers
  • Subtract 65.3792 from 145.403.
    8·2 answers
  • There are 17 students participating in a spelling bee. how many ways can the students who go first and second be chosen?
    15·1 answer
  • X+49=75 <br>solve this equation by undoing
    9·2 answers
  • I need help with this one too. X=-1 and y=2; evaluate 10x-3+2xy
    10·1 answer
  • Find the area of a circle with a circumference of 37.68 units.
    14·1 answer
  • Charlotte owns two entertainment websites. Here are some details about those websites for one entire month: Website A Website B
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!