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maw [93]
3 years ago
6

Find the values of c and d that would make the following equation true

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

c = 2, d = 3

Step-by-step explanation:

multiply factors on left side gives

9 c y^{3+d} = 18y^{6} ( divide both sides by 9 )

cy^{3+d} = 2y^{6}

For both sides to be equal then

c = 2 and 3 + d = 6 ⇒ d = 3

As a check

left side = 2y^{3} × 9y^{3} = 18y^{6} = right side




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If 6, 18 and 24 are in proportion, which one is the third proportional number ? ​
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Which of the following inequalities is graphed on the coordinate plane
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Well, all the equations are the same except for the symbol so you don't need to figure out the equation of the line.

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6 0
4 years ago
Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6
svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7     eq(1)

6x + 8y + 5z = 9     eq(2)

2x + 3y + 5z = 6     eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

-    -       -        -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9    

2x + 3y + 5z = 6    

-     -      -          -

______________

4x + 5y +0z = 3    

4x + 5y = 3      eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0
4 years ago
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