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babunello [35]
3 years ago
6

Please help!!!!!! Which is the equation of the line passing through (0, 4) and (8, 0)?

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0
The equation would be y= -8x + 4
antoniya [11.8K]3 years ago
5 0
The slope m is given by:
m = (4 - 0)/(0 - 8) = -(1/2)
When x = 0, y = 4. Therefore the y-intercept is 4.
The equation of the line is:
y = -(x/2) + 4
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The following equations are given:
jarptica [38.1K]

The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

<h3>Solving the variables using equations 1 and 2</h3>

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

<h3>Solving the variables using equations 1, 2 and 3</h3>

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

<h3>Can the solution work for equation 4?</h3>

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

Read more about system of equations at:

brainly.com/question/12895249

#SPJ1

<u>Missing part of the question</u>

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

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2 years ago
What is the answer for Question 2 and 3???
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Farmer jim keeps 12 hens in every coop. if farmer jim has 20 coops,how many hens does he have in all?
kupik [55]

It would be: 20*12 = 240

So, he has 240 hens in total...

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3 years ago
What is 12L = how many mL hellllp
Alexandra [31]
12000ML Hope this helps
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Libon’s new car can travel 45 miles on 1 gallon of gasoline.
atroni [7]

Answer:

a. 315 miles b. 0.022222... c. g=m45 (not so sure on c)

Step-by-step explanation:

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