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Musya8 [376]
3 years ago
14

What is the solution to -4x+5y=14 and 7x+3y=-1 I need the answer now.

Mathematics
2 answers:
Vlad [161]3 years ago
8 0
X= -1 and y=2
Proof:
-4x+5y=14 (equation 1)
7x+3y= -1 (equation 2)

3y= -7x -1
y= -7/3x -1/3 (equation 3)
(3) into (1)
-4x+5(-7/3x-1/3)=14
-4x-35/3x-5/3=14
-47/3x-5/3=14
-47/3x=47/3
x= (-47/3)/ (47/3)
x= -1 
sub x= -1 into (3)
y= -7/3(-1)-1/3
y= 2



Serjik [45]3 years ago
7 0
One way to solve is to try to cancel out some terms
we till try to cancel out the y terms

-4x+5y=14
7x+3y=-1
find lcm of 3 and 5 the lcm=15
-4x+5y=14
multily by 3
-12x+15y=42

7x+3y=-1
multiply both sides by -5
-35x-15y=5
add 2 equations together
-12x-35x+15x-15x=42+5
add like terms
-47x=47
divide both sides by 47
-x=1
multpiply by -1
x=-1

subsitute -1 for x in one quation

7x+3y=-1
x=-1
7(-1)+3y=-1
-7+3y=-1
add 7 to both sides
3y=6
divide both sides by 3
y=2


x=-1
y=2
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Artemon [7]

Answer:

  • 1) y = 13.5x + 1
  • 2) y = 12x + 4
  • 3) Sam won the race

Step-by-step explanation:

<h3>Part 1</h3>

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

  • y = 13.5x + 1
<h3>Part 2</h3>

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

  • y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>

<u>After 15 seconds the distance from the start line is:</u>

  • Sam   ⇒ y = 13.5*15 + 1 = 203.5 ft
  • Alice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

5 0
2 years ago
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. T
Romashka-Z-Leto [24]

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

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Needs more information
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Rufina [12.5K]

Answer:

60

Step-by-step explanation:

rate of change of graph,df(x)/dx

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What are the next 6 terms 1,3,9,27 ?
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