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bagirrra123 [75]
2 years ago
14

Solve the system of linear equations using elimination.

Mathematics
1 answer:
m_a_m_a [10]2 years ago
5 0

Answer:

Option A) x = 3 and y = 5

Step-by-step explanation:

−7x + 3y = −6_____ first equation

−3x + 3y = 6_____ second equation

Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.

---First step is to subtract the equation 2 from 1

−7x + 3y = −6

−3x + 3y = 6

From the above equation, we have

-4x = -12

Divide both sides by -4

X = 3

--- Substitute x = 3 in equation 1

−7x + 3y = −6

-7(3) + 3y = -6

-21 + 3y = -6

3y = 21 - 6

3y = 15

Y = 5

X = 3 and y = 5( option a)

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Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
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  • x = 15

m∠ABC = 15°

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3 years ago
50% of what number is 32?
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So you know 50% means half right? So then do 32*2 and you get 64.
6 0
2 years ago
Read 2 more answers
1. Darian makes an hourly wage of $12.15 per hour. For hours worked over 40, she is pain
RUDIKE [14]

Answer:

a. What is Darians gross <em>pay</em> for this <em>pay</em> period?

Step-by-step explanation:

3 0
2 years ago
Fatima paid a $50. Initiation fee to join a gym. She also pays a fee of $25 per month. Write an expression that shows how much F
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3 0
3 years ago
There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost o
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The cost of the path around the swimming pool with length 15m and width 12m is $1,190

<h3>Area of a rectangle</h3>

  • Length = 15m
  • Width = 12m

Pathway with 2m wide:

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  • Width = 12m + 2m = 14m

Area of the path = length × width

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= 238 square meters

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Total cost of the path = 238 square meters × $5

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Learn more about area of rectangle:

brainly.com/question/13048427

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