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AveGali [126]
3 years ago
14

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved t

he system. y=-2x + 3 y = -2×3x​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

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Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.
Phoenix [80]

Answer:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Equation of the line using point

( 1 , - 4) and slope 5/2 is

y + 4 =  \frac{5}{2} (x - 1) \\  \\ y + 4 =  \frac{5}{2} x -  \frac{5}{2}  \\  \\ y =  \frac{5}{2} x -  \frac{5}{2}  - 4 \\  \\  \\ y =  \frac{5}{2} x -  \frac{13}{2}

Hope this helps you

8 0
4 years ago
David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co
Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

 

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD  is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0
3 years ago
The weekly salaries of six employees at a fast food franchise are $250, $120, $95, $160, $185, $225. For these six salaries, fin
Mashcka [7]
250+120+95+185+160+225= the mean
5 0
3 years ago
Pls help help help, help help help help help
Alik [6]

Answer: We can't even see the whole picture my dude

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select all the expressions that could represent the volume of a box, which is a third degree polynomial in variables x and y.
Citrus2011 [14]

Answer:

A and D

Step-by-step explanation:

Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.

A. 3 x y − 3 x y^2

Degree = 1 + 2 = 3

This option is correct

B 2y - xy^3 + 7

Degree = 1 + 3 = 4

This option is wrong

C. 3x^3y^2 -3x^2y + 10y^2 - 10y

Degree = 3 + 2 = 5

This option is wrong

D. 3x^2y+5xy

Degree = 2 + 1 = 3

This option is correct

E. 3y^3 + 3x^3 y^4

Degree = 3 + 4 = 7

This option is wrong

6 0
3 years ago
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