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KIM [24]
3 years ago
5

6x – 7y = 16 2x + 7y = 24 (2, 1) (2, 0) (5, 2) (4, –5)

Mathematics
1 answer:
White raven [17]3 years ago
3 0
<span>6x – 7y = 16
2x + 7y = 24

This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.

</span>    6x – 7y = 16 
    2x + 7y = 24
+___________
    8x –  0 = 40
           8x = 40
             x = 5

Substitute 5 for x into either of the above equation and solve algebraically for y.

       2x + 7y = 24
    2(5) + 7y = 24
      10 + 7y = 24
              7y = 14
                y = 2

Check work by plugging both x- and y-values into each original equation.

    6x – 7y = 16  =>  6(5) – 7(2) = 16  =>  30 – 14 = 16
    2x + 7y = 24  =>  2(5) + 7(2) = 24  =>  10 + 14 = 24

Answer:
x = 5; y = 2

(5, 2)
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Dmitriy789 [7]
Most of the information's are already given in the question. It is important to understand the language of the problem for solving the problem. Once the language is understood, then solving the problem is easy.
Let us assume the number of black jelly beans = x
Number of yellow jelly beans = y
Then from the question we can get to a equation.
3x - 7 = y
We also know from the question that
x + y = 225
x + 3x -7 = 225
4x = 225 + 7
4x = 232
x = 232/4
   = 58
So Cassidy has 58 black jelly beans out of the total of 225 jelly beans
4 0
3 years ago
A triangle in the coordinate plane has vertices ????(0,10), ????(−8,8), and ????(−3,5). Is it a right triangle? If so, at which
GaryK [48]

Answer:

It is a right triangle, the right angle is at the point (-3, 5)

Step-by-step explanation:

The first step is to locate the points of the vertices in a plane, in this case they are (0.10), (-8.8) and (-3.5). The desmostration of this is shown in the attached image.

As we can see it is formed a right triangle (the figure outlined in red), and the rigth angle is the one at the point (-3,5).

5 0
3 years ago
My victory will be in your hands if you answer this ✌✌✌✌✌
Julli [10]

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

7 0
3 years ago
Read 2 more answers
How many solutions does this linear system have?
ziro4ka [17]

Answer: C is correct, No solution

Step-by-step explanation:

Let’s simplify the second equation,

8x-4y=-20

We can divide the whole equation by 4...

8x/4-4y/4=-20/4

Which becomes....

2x-y=-5

Now let’s move things around to see if it’s the same equation as the one on top...

-y=-2x-5

y=2x+5

Now we need to solve the systems...

y=2x-5

y=2x+5

Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.

4 0
4 years ago
Can someone plz explain I would appreciate it
mafiozo [28]

Answer:

Angle of depression

Step-by-step explanation:

4 0
3 years ago
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