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
masha68 [24]
3 years ago
5

When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper

ty justifies this manipulation?
8x+3y=7
4x+y=1
Mathematics
1 answer:
galben [10]3 years ago
4 0
For this case, what we are going to do is use the following property:
 Multiply an equation by a scalar.
 In this case, the scalar will be:
 k = -2
 We have then that equation 2 will be:
 k * (4x + y) = k * 1
 -2 * (4x + y) = - 2 * 1
 -8x-2y = -2
 Answer:
 The property that justifies this manipulation is:
 Multiply an equation by a scalar.
You might be interested in
Can anyone help me please?
antoniya [11.8K]

Plug in (-1, 3) into both equations

Ax - 2y = 4

A(-1) - 2(3) = 4

-A - 6 = 4   Add 6 on both sides

-A = 10       Divide -1 on both sides

A = -10


5x + By = -1

5(-1) + B(3) = -1

-5 + 3B = -1      Add 5 on both sides

3B = 4       Divide 3 on both side

B = \frac{4}{3}

6 0
3 years ago
If the polygon is translated 3 units down and 4 units left, what will the coordinates of s
lyudmila [28]

Answer:

(-4,-3)

Step-by-step explanation:

Assuming the polygons initial position is at (0,0)

-3 = y

-4 = x

3 0
3 years ago
Sara sold hotdogs and drinks at the soccer game.
Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0
3 years ago
A chef uses 1/2 cup of tomatoes for every 1/8 cup of onions to make salsa. How many cups of onions will the chef need for 1 cup
DedPeter [7]

Answer:

0.25cups

Step-by-step explanation:

if it is 1 cup then we are doubling the amount of onions so

1/8 x 2= 1/4= 0.25cups

6 0
3 years ago
How do you factor a^2×b - b^3​
Paraphin [41]

Answer:

b(a - b)(a + b)

Step-by-step explanation:

Given

a²b - b³ ← factor out b from each term

= b(a² - b²) ← a² - b² is a difference of squares

= b(a - b)(a + b)

3 0
3 years ago
Other questions:
  • 3. What is the value of x + y?
    15·1 answer
  • Given the system of equations:
    10·1 answer
  • Please may someone help me out asap!
    5·2 answers
  • What is the factor of 4u+20v
    15·2 answers
  • The table shows the votes of 900 people in the last election
    6·1 answer
  • 8x + 3y + 6z = 43<br> -3x + 5y + 2z = 32<br> 5x – 2y + 5z = 24
    9·1 answer
  • Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
    11·1 answer
  • How many triangles can be constructed with side lengths of 1.5 cm, 1,5 cm, and 1.5 cm?
    12·1 answer
  • 7x+3 find x. I am confused I need help………………….
    10·2 answers
  • Describe the transformation of f(x) = cos x to g(x) = cos(x - pie/4).​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!