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denpristay [2]
3 years ago
6

What is the value of y in the solution to this system of equations?

Mathematics
2 answers:
torisob [31]3 years ago
3 0

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

OlgaM077 [116]3 years ago
3 0
  • 3x-2y=-12--(1)
  • 2x+y=4--(2)

Multiply 2 with (1) and 3 with (2)

  • 6x+4y=-24--(1)

  • 6x+3y=12--(4)

Subtract

  • y=-24-12
  • y=-36
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7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the gard
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Step-by-step explanation:

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The combined height of one oak tree and one pine tree is 21 meters. The height of 4 oak trees stacked on top of each other is 24
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Answer:

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Step-by-step explanation:

Given:

The combined height of 1 oak tree and 1 pine tree = 21 meters

Height of 4 oak trees = 24 meters more than 1 pine tree

To find the height of 1 pine tree and height of one oak tree.

Solution:

Let the height of one oak tree be = x meters.

Let height of one pine tree = y meters.

Combined height can be given as :

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Height of 4 oak trees = 24 meters more than 1 pine tree

The above statement can be given as :

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4x-y=24+y-y

4x-y=24-------------[2]

Adding rearranged equation [2] to [1].

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+--------------------

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Dividing both sides by 5.

\frac{5x}{5}=\frac{45}{5}

∴ x=9

Plugging in  x=9 in equation [1]

9+y=21

Subtracting both sides by 9.

9-9+y=21-9\\\therefore y=12

Height of an oak tree= 9 meters

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