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Shkiper50 [21]
2 years ago
11

What is the solution for the system of equations?

Mathematics
1 answer:
Lena [83]2 years ago
5 0

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

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Levart [38]
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3 years ago
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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply
Sloan [31]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements?  Please share them next time.

h(x) is the NEGATIVE of g(x):  h(x) = -x^2 = -g(x)

6 0
2 years ago
Robin earned $4,320 in 9 weeks and worked 40 hours in each week.how much did he earned per hour
Gekata [30.6K]

Answer:

$12 per hour

Step-by-step explanation:

4320 / 9 = 480 per week / 40 = 12 per hour

6 0
3 years ago
Do they put on laughing gas for when you get your braces? And do they numb your teeth-?
tekilochka [14]

Answer:

no to both questions, they might numb your gums but im not 100% sure.

Step-by-step explanation:

4 0
3 years ago
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