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Mekhanik [1.2K]
4 years ago
6

3. Solve the system of equations without graphing. Show your reasoning.

Mathematics
1 answer:
Whitepunk [10]4 years ago
8 0

Answer:

X=2, y=-1

Step-by-step explanation:

2y=x-4 equation 1

4x+3y=5 equation 2

x=2y+4 isolate x in equation 1

4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2

8y+16+3y=5

11y=-11

y=-1

solve for x by inputting y value into either equation

2y=x-4

2(-1)=x-4

-2=x-4

2=x

You might be interested in
What is the distance between the points (-4,-8) and (10,-8)?
ioda

Answer: 14

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-4, -8)

Point 2  ( x B , y B )  = (10, -8)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ (x B − x A ) 2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 10 −  − 4 ) 2 + ( − 8 −  − 8 ) 2

=  √ 14 ^2 + 0 ^2

=  √ 196 + 0

=  √ 196 = 14

Distance between points (-4, -8) and (10, -8) is 14

7 0
3 years ago
7. Nick’s youth group has 20 regular students that attend weekly get togethers. They saved up enough money for each person to go
Anna11 [10]

Answer:

If each youth saves $10 daily, their weekly savings would be $1400. So they donated $1400 to the church.

Step-by-step explanation:

Let the daily pay plan for each youth be $y

Daily pay plan for 20 youth = $20y

Weekly pay plan = 7×20y = $140y

Assuming each youth saves $10 daily

Daily savings for 20 youth = 20×$10= $200

Weekly savings for 20 youth = 7×$200= $1400

If they used the early pay plan ($140y) to go swimming, they saved $1400 which they donated to the church.

6 0
4 years ago
Which of the following expressions is correctly written in scientific notation
katrin [286]

Answer:

it is the 3 one

Step-by-step explanation:

7 0
3 years ago
Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.
Mekhanik [1.2K]

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

7 0
3 years ago
A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the perce
9966 [12]

Answer: Amount of change : $30

percent increase : 200%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Wholesale price: $15 </em>
  • <em>Retail price: $45 </em>

To obtain the amount of change we have to subtract the wholesale price to the retail price:

Mathematically speaking:

45 -15 = $30

For the percent increase, the amount of change (30) is some percent of the original price (15). So:

30 / 15 =2 (decimal form)

If we multiply it by 100, the percentage is:

200%

3 0
4 years ago
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