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Ratling [72]
3 years ago
6

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

.

y=8−2x

x−(8−2x)=2

Simplify the left side.

Tap for more steps...

y=8−2x

3x−8=2

Solve for x

in the second equation.

Tap for more steps...

y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

.

y=8−2(103)

x=103

Simplify 8−2(103)

.

Tap for more steps...

y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

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8)
zepelin [54]

Answer:

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

Step-by-step explanation:

we have

2x+5y=7 ----> first equation

3x+4y=6 ----> second equation

step 1

Multiple the first equation by 3 both sides

3(2x+5y)=3(7) -----> by multiplication property of equality

6x+15y=21 ----> new first equation

step 2

Multiple the second equation by -2 both sides

-2(3x+4y)=-2(6)  -----> by multiplication property of equality

-6x-8y=-12 ----> new second equation

step 3

Solve the system of equations by elimination

Adds new first equation and new second equation

6x+15y=21\\-6x-8y=-12\\-------\\15y-8y=21-12\\7y=9\\y=\frac{9}{7}

Find the value of x

substitute the value of y in any equation and solve for x

6x+15y=21

6x+15(\frac{9}{7})=21

6x=21-\frac{135}{7}

6x=\frac{12}{7}

x=\frac{2}{7}

The solution is the point (\frac{2}{7},\frac{9}{7})

therefore

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

8 0
3 years ago
Read 2 more answers
BRAINLIST AND A THANK YOU AND 5 stars WILL BE REWARDED PLS ANSER
vichka [17]

Answer:

The first picture's answer would be (6, 21)

Step-by-step explanation:

You have to find the points on the 8th and the 9th day, and then you would add them together, and then divide by two finding the average, which would be 24 and 18, so when added, you get 42, divided by 2 you get 21. You look on the graph for the point with 21, and you find it is on 6.

3 0
3 years ago
Can someone please help, I'll give brainliest!!! WORTH 40 PTS!
Studentka2010 [4]

Answer:

X = 14.48528137

Step-by-step explanation:

  1. ADD 72 TO BOTH SIDES
  2. SQUARE ROOT 72
  3. ADD 6
  4. X = 14.48528137
5 0
3 years ago
Answer QUICK; Will mark BRAINILIEST IF CORRECT
Rama09 [41]

Answer:

2.5; 2.5

Step-by-step explanation:

slope m = (y2-y1)/(x2-x1) (or use the graph and count rise over run)

m = (10-5)/(4-2) = 5/2 or 2.5

The slope of the line is 2.5.  This means that 2.5 mm of rain falls every hour

6 0
4 years ago
Read 2 more answers
A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if cardboard costs $0.05 pe
Evgen [1.6K]

Answer:

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.

Step-by-step explanation:

8 0
3 years ago
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