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
aev [14]
2 years ago
6

Solve the system with elimination. {2x-y=2, -5x+4y=-2

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

You might be interested in
How do the expressions 72 divided and -72divided by (-9) and compare when they are evaluated?
padilas [110]

Complete question is;

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?

A. They have different values and are different signs.

B. They have different values but are the same sign.

C. They have the same value but are different signs.

D. They have the same value and the same sign

Answer:

D. They have the same value and the same sign

Step-by-step explanation:

For 72 divided by 9,it is;

72/9 = 8

Usually when we don't have any sign in front of a number, it is said to be positive.

Thus, the answer can be expressed as; +8

Also, when -72 is divided by (-9), it is;

-72/-9

The negative signs will cancel out to give; 8

Similar to the first division, since no sign is attached to 8,it is said to be positive as +8.

This means both divisions yield same values and same signs

5 0
3 years ago
Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests
Dmitrij [34]
The answer is 78 because when you add all the numbers it equals 780 and you need to divide the end sum by the amount of numbers added to get it. So in the end there were 10 numbers added to equal 780 so 780\10 equals 78
3 0
3 years ago
Read 2 more answers
Can you help me with this please???
Dahasolnce [82]

Answer:

c?

Step-by-step explanation:


8 0
3 years ago
A railroad crew can lay 6 miles of track each day. They need ti lay 174 miles of track. The length, L (in miles), that is left t
Alex17521 [72]
X + y = 13
- x + y = 3
6 0
3 years ago
At the fast food restaurant, an order of fries costs $1.05 and a drink costs $1.07. How much would it cost to get 3 orders of fr
trasher [3.6K]

Answer:

$7.43

Step-by-step explanation:

f (fries) = 1.01

d (drinks) = 1.07

1.05f + 1.07d = ?

To solve this problem, you need to replace the variable with the amount of each item.

1.05(3) + 1.07(4) = ?

Now we can solve by multiplying and adding:

3.15 + 4.28 = ?

<u>7.43</u>

5 0
2 years ago
Other questions:
  • 2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number
    10·1 answer
  • Given that x2+y2=16x−26y−133, what is the biggest value that 6x−8y can have?
    10·1 answer
  • Square root 3 (5 square root 2 + 4 square root 3) <br><br> Expand and simplify if possible
    14·1 answer
  • if I have meat that is 2.81 lbs. net wt. and the unit price is $4.49 lb. how much would I have to pay?
    11·1 answer
  • The area of a rectangle is 35 ft squared , and the length of the rectangle is 3 ft more than twice the width. find the dimension
    6·1 answer
  • At a football stadium, 10% of the fans in attendance were teenagers. If there were 100 teenagers at the football stadium, what w
    7·2 answers
  • first number plus twice a second number is 1 . Twice the first number plus the second totals 8. Find the numbers.
    7·1 answer
  • If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of w
    11·1 answer
  • Determining the momentum of a 80kg football player running at 3.4 meters/second =272kgm/s
    11·1 answer
  • Pa sagot po please maraming salamat po
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!