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Ksenya-84 [330]
3 years ago
10

Solve the system of equations

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

B) x=2, y=1

Step-by-step explanation:

x+3y=5

-x+6y=4

solve the equation

x=5-3y

-x+6y=4

substitute the value of x into an equation

-1(5-3y)+6y=4

multiply numbers in parenthesis by -1

-5-3y+6y=4

put -5 as positive and add 5 to 4 and put -3y as positive and add to 6y.

9y=9

divide both sides by 9

y=1

substitute the value of y into an equation

x=5-3•1

multiply 3 to 1

x= 5-3

subtract 5 to 3

x=2

------------

x=2

y=1

------------

ira [324]3 years ago
7 0

Answer:

  B) x = 2, y = 1

Step-by-step explanation:

Add the two equations to eliminate the x-variable.

  (x +3y) +(-x +6y) = (5) +(4)

  9y = 9 . . . . . . .simplify

  y = 1 . . . . . . . . divide by 9

You can substitute this value into either equation to find x.

  x + 3(1) = 5

  x = 2 . . . . . . . . subtract 3

The solution is (x, y) = (2, 1).

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nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

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Now, divide both sides by 3. The left side cancels:

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The slope-intercept form is:

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So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

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4)

Please refer to the attached graph.

5)

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