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s344n2d4d5 [400]
3 years ago
10

Solve the system of equations using the addition method.

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Answer:

A) 5x - 2y = 12

B) 3x + 2y = 36  Adding both equations eliminates "y"

8x = 48

x = 6   Putting x=6 into equation B we get

3*6 + 2y = 36

2y = 18

y = 9

Step-by-step explanation:

Vlad1618 [11]3 years ago
5 0

5x-2y=12 eq1

3x+2y=36 eq2

8x=48

x=6

X iS 6

substitute X S6 in equation 2

3 into 6 + 2 Y is equal to 36

18 + 2 Y is equal to 36

Y is equal to 9

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KengaRu [80]
5 obtuse no acute and no right
4 0
3 years ago
Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square foot
Ratling [72]
A = 35 sq ft 
<span>L = 10 ft </span>
<span>W = 3.5 ft</span>
3 0
3 years ago
Jason and his children went into a movie theater where they sell drinks for $4 each and pretzels for $5 each. Jason has $65 to s
klemol [59]

Answer:

Number of drink = 5

Number of pretzel = 9

Step-by-step explanation:

Given:

Cost of each drink = $4

Cost of each pretzel = $5

Total money = 65

Total number of drink and pretzel = 14

Find:

Number of drink and pretzel

Computation:

Number of drink = x

Number of pretzel = 14 - x

So,

x(4) + (14-x)5 = 65

4x + 70 - 5x = 65

x = 5

Number of drink = 5

Number of pretzel = 14 - x

Number of pretzel = 14 - 5 = 9

4 0
3 years ago
Read 2 more answers
Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

6 0
3 years ago
Read 2 more answers
A rhinoceros weight when rounded to the nearest thousand was 4,000 pounds. Which of these is the least the rhinoceros could have
Rudik [331]

Answer:

B- 3,500.

Step-by-step explanation:

This is because 3,500 is the lowest number that can be rounded to 4,000.

3,999 and 4,001 can also be rounded but.. (let me show you an image to help).

3,500 < 3,999 < 4,001.

That goes from smallest to largest numbers that round to 4,000.

Hope that helps. x

5 0
3 years ago
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