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
Maru [420]
3 years ago
10

Solve 3x − 2y = −21 and 2x + 5y = 5 using elimination

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Answer:

x = -5 and y = 3

Step-by-step explanation:

There are two equations :

3x − 2y = −21 ....(1)

2x + 5y = 5 ......(2)

Multiply equation (1) by 2 and equation (2) by 3.

6x - 4y = -42 ...(3)

6x + 15y = 15 ....(4)

Subtract equation (4) from (3) :

6x - 4y - (6x + 15y) = -42 -15

-4y -15y = -57

-19y = -57

y = 3

Put y = 3 in equation (2) :

2x + 5(3) = 5

2x = 5-15

2x = -10

x = -5

So, the value of x is (-5) and y = 3.

You might be interested in
If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

 $4.37 cash outlay

 $29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

  0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

  tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

  $27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

__

<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
The simplest form of StartRoot 80 EndRoot can be written as a StartRoot b EndRoot, where a = and b =
Elden [556K]

Answer:

4√5

Step-by-step explanation:

√80 = √16 times √5

√16 = 4

4 times √5

4√5

6 0
3 years ago
Read 2 more answers
Janine is packing carrots. Each large box holds 20 2-pound bags of carrots. If janine has 800 bags of carrots, how many boxes ca
grigory [225]
This is a division problem: 

Each box holds 20 bags.

800 bags / 20 bags per box = # of boxes 

40 boxes are needed. 
5 0
4 years ago
Read 2 more answers
Please answer right away and don’t guess
ivolga24 [154]

im pretty sure the answer is 30

5 0
3 years ago
Which system type is a linear system with infinitely many solutions?
Maru [420]

Answer: C

Step by step explanation-

4 0
3 years ago
Read 2 more answers
Other questions:
  • A deep-sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How de
    13·2 answers
  • What are two numbers I can use to multiply to 4, but also i can add those numbers to equal 2? Any integers are okay.
    8·1 answer
  • how do you round percent of numbers to the nearest hundredth. to this answer 28 is what percent of 62
    5·1 answer
  • Question 1.) simplify 6(2 + 0.3)5
    11·2 answers
  • How do you find volume of a cube
    5·2 answers
  • Shape p is translated to shape Q using vector (a b). <br> Please find A. <br> Photo attached.
    8·1 answer
  • Hellllllllpppppppppppppppppppppp​
    15·1 answer
  • I can't figure out the answer
    10·1 answer
  • Stephen made the following claim:
    13·1 answer
  • 3. The average goals scored per game are calculated for 20 soccer tournaments. The 20 averages
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!