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Alexxandr [17]
3 years ago
7

A system of equations is shown below. y = x 2+ 2x + 8 y = – 4x What is the smallest value of y in the solution set of the system

?
Mathematics
2 answers:
Hitman42 [59]3 years ago
6 0

Answer:

8

Step-by-step explanation:

smallest makes sense

Leto [7]3 years ago
5 0

Answer:

I think 2+-1x+9y

Step-by-step explanation:

Just add the numbers that have the same variables

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the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.
laila [671]
L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)
4 0
3 years ago
Solve these simultaneous equations:
ivolga24 [154]

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

4 0
2 years ago
Which equation has the greatest positive rate of change?
Rasek [7]

Answer:

y=4x+4

Step-by-step explanation:

It has the biggest slope of the equations of 4, and increases the most.

5 0
2 years ago
16x-5y=-33 solve the equation
LUCKY_DIMON [66]
 16x - 5y = -33               First, you subtract 16x from both sides of the 
<u>-16x           -16x       </u>      equation
         <u>-5y</u> = <u>-16x -33</u>       Next, you divide both sides of the equation by -5 to 
          -5          -5            make "y =" form
            y = 16/5x + 33/5
3 0
2 years ago
Solve for the roots in simplest form using the quadratic formula: x^2+14x=-45
Natalija [7]

Answer:

x = − 5 − 9

Step-by-step explanation:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula. x = − 5 − 9

6 0
2 years ago
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