All categories

3 years ago

Solve the system of equations by substitution.

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

6 = −4x + y

−5x − y = 21

Answer: (-3, -6)

2x + y = 20 6x – 5y = 12

Answer:

(7 , 6)

Step-by-step explanation:

Solve the system of equations by substitution.

6 = −4x + y --> y = 4x + 6

−5x − y = 21

Substitute y = 4x + 6 into −5x − y = 21

−5x − (4x + 6) = 21

-5x - 4x - 6 = 21

-9x = 27

x = - 3

y = 4(-3) + 6

y = -12 + 6

y = -6

(-3, -6)

Solve the system by the elimination method.

2x + y = 20

multiply the equation by (-3) ; 2x + y = 20 so

-6x - 3y = - 60

6x – 5y = 12

------------------add

-8y = - 48

y = 6

2x + y = 20

2x + 6 = 20

2x = 14

x = 7

(7 , 6)

You might be interested in

Aria is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an oran

Mars2501 [29]

It’s 3/12 times 7/11=21/132 Answer 1

5 0

3 years ago

Solve using the substitution method. Show steps please.

rusak2 [61]

Answer:

X=1, Y=4

Step-by-step explanation:

IN THE ATTACHED FILE

7 0

3 years ago

The perimeter of a rectangle is 34 units and its width is 6.5 units

IgorC [24]

Since you technically didn't ask for anything to be solved for, this problem is now solved. Since these types of problems are normally solving for legnth if width is given and vice versa, I will solve for legnth.

perimiter=legnth+legnth+width+width or
p=l+l+w+w
p=2l+2w
subsitute w=6.5 and p=34
34=2l+2(6.5)
34=2l+13
subtract 13 from both sides
21=2l
divide by 2
10.5=l

legnth=10.5 units

5 0

3 years ago

Point A is located at negative 5 over 8 and point B is located at negative 2 over 8. What is the distance between points A and B

ki77a [65]

<h2>Answer:</h2>

Option: A is the correct answer.

A. negative 5 over 8 minus negative 2 over 8 = negative 3 over 8; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units.

<h2>Step-by-step explanation:</h2>

The location of Point A is : A(-5/8)

and Point B is located at : B(-2/8)

We know that when two points lie over a number line then the distance between the two points is the absolute difference between the two points.

If A is located at a.

and B is located at b.

Then the distance between A and B is given by:

|a-b|

Hence, here the distance between A and B is given by:

$|\dfrac{-5}{8}-(\dfrac{-2}{8})|=|\dfrac{-5}{8}+\dfrac{2}{8}|=|\dfrac{-3}{8}|=\dfrac{3}{8}\\\\i.e.\\\\\text{Distance between A and B is}=\dfrac{3}{8}\ \text{units}$

8 0

3 years ago

Read 2 more answers

3 1/4 - 1 3/8 (please help)

viva [34]

In fix fraction it will be, 1 7/8

and the exact answer is 15/8

and in decimal from it will be, 1.875

3 0

2 years ago

Read 2 more answers