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Gekata [30.6K]
2 years ago
14

Show the steps and name the properties you used to solve the equation below

Mathematics
1 answer:
DochEvi [55]2 years ago
6 0

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

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3 0
2 years ago
1) What is the solution of the given system?
m_a_m_a [10]

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2


Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

------------------

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5


2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23


Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128


Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115


Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

---------------------

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5





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3 years ago
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810000\\
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3040000000\\
0.0000043\\
0.00172\\
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3 years ago
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