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amid [387]
3 years ago
11

(Time expired.) The graph shows the system of equations below.

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

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Please solve 21=5n-2(n-3)
Stella [2.4K]

21 = 5n-2(n-3)

21 = 5n-2n+6

21-6 = 3n

n=15/3

n=5

8 0
3 years ago
Read 2 more answers
Find the slope of the line passing through (-9,3), (-3,-5)
egoroff_w [7]

Answer:

-4/3

Step-by-step explanation:

Slope: (y2-y1)/(x2-x1)

(-5-3)/(-3+9) = -8/6 = -4/3

The slope is -4/3

6 0
3 years ago
Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
2 years ago
I will give u brainliest
Gnesinka [82]

Answer:

It is 18

Step-by-step explanation:

A^2+31^2=36^2

After that you simplify then solve and you'll get 18

6 0
3 years ago
Read 2 more answers
Solve for x: x^2-2x=15
Lyrx [107]

Answer:

<h2>x = 5 , x = -3</h2>

Step-by-step explanation:

x^2 - 2x = 15

x^2 - 2x - 15 = 15 - 15          (Subtract 15 from both sides.)

x^2 - 2x -15 = 0                   (Simplify.)

<em />

<em>Set up & solve for a quadratic formula</em>

<h3><em>* I will solve for your first x</em></h3>

2 + root 64 / 2x 1   =   2 + root 64 / 2

root 64 = 8

= 2 + 8 / 2

= 10 / 2

= 5

<em>To solve for the second, follow the same pattern/formula for the first that I used to get 5.</em>

5 0
3 years ago
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