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ANEK [815]
3 years ago
5

Find the solution to the system of equations.y=2x+3 and y=-3x+3

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

x = 0 and y = 3

Step-by-step explanation:

Using elimination method, we can solve for x and y in the simultaneous equation

y = 2x + 3   .................................eqn 1

y = -3x + 3  .................................eqn 2

multiply equation 1 by 3 and equation 2 by 2, then we will have

(y = 2x + 3) × 3

(y = -3x + 3) × 2

3y = 6x + 9   ...............................eqn 3

2y = -6x + 6 ................................eqn 4

Add eqn 3 and 4 together and we will eliminate x and have

5y = 15

Divide both sides by 5, and we will have

y = 3

To solve for x, substitute 3 for y in eqn 1

y = 2x + 3

3 = 2x + 3

collect like terms

3 - 3 = 2x

0 = 2x

Therefore x = 0

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Alika [10]

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16 gallons

Step-by-step explanation:

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7 0
3 years ago
2X+4=20+5X<br>A)1/2 B)-1/2 C)2 D)-2​
Nookie1986 [14]

Answer:

It seems that your options aren't correct as the right answer is -5.3333... (recurring)

Step-by-step explanation:

1)  2x + 4 = 20 + 5x   (subtract by the smallest unknown)

  -2x                  -2x

2)  4        = 20 + 3x

    -20      -20    (now subtract each side by 20 as we want to leave the unknown on one side and another number on the other side.

3) -16       = 3x   (Divide each side by 3)

   ÷3        = ÷3

4) -5.33333... = x

<h3>Now we have found x but if you're unsure you can substitute to see if your answer is correct.</h3><h3>2 x -5.3333 + 4 = -6.6666</h3><h3>20 + 5 x -5.3333= -6.6665</h3><h3>Our answer is correct! (When answers are rounded, it is equal to the same thing).</h3>
7 0
3 years ago
Suppose the top surface of a balance beam is 16 feet 5 inches long and 3.9 inches wide. Find the area of the top surface of the
VARVARA [1.3K]

Answer:

Option A would be your answer

Step-by-step explanation:

Had this question on Achieve3000

7 0
3 years ago
Explain it so I can better understand it
lorasvet [3.4K]
The question is essentially asking who's equation works better (Part A) and to explain why (Part B). 
Marcella is suggesting the equation 6r + 12 = 683.88 
Julia is suggesting the equation 6(r + 12) = 683.88 

Six people are on the trip.
It is $12 PER person to rent a floatation device. 
The total cost of the trip was $683.88.

Hope I've helped!


6 0
3 years ago
Please show your work! Thankyou!
ZanzabumX [31]
Log₄(y+2) = 3, transform it into exponent form:

(y+2) = 4³
y+2 = 64
 y= 62

5 0
3 years ago
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