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frutty [35]
3 years ago
13

Explain how System 1 becomes equivalent to System 2.

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

In the procedure

Step-by-step explanation:

we have

<em>System 1</em>

Ax+By=C -----> equation A

Lx+My=N -----> equation B

<em>step 1</em>

Multiply equation B by -1 both sides

(-1)*(Lx+My=)N*(-1)

-Lx-My=-N ------> equation C

<em>step 2</em>

Adds equation A and equation C

Ax+By=C

-Lx-My=-N

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

Ax-Lx+By-My=C-N

(A-L)x+(B-M)y=C-N -----> equation D

step 3

An equivalent system (System 2) is formed with

Ax+By=C -----> equation A

(A-L)x+(B-M)y=C-N -----> equation D

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3. Solve using substitution.<br> x - y = 4<br> 3x - 2y = -5
Vedmedyk [2.9K]

<u>Given</u>:

The system of linear equations are x-y=4 and 3x-2y=-5

We need to determine the solution to the system of equations using substitution method.

<u>Solution</u>:

The solution can be determined using the substitution method.

Let us substitute x=4+y in the equation 3x-2y=-5

Thus, we have;

3(4+y)-2y=-5

12+3y-2y=-5

          12+y=-5

                  y=-17

Thus, the value of y is -17.

Substituting y=-17 in the equation x-y=4, we get;

x+17=4

       x=-13

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)

6 0
3 years ago
What is the value of 0 in 37.0691 ​
Andrew [12]

Answer:

The value of 0 is 0 - If you want to round its 37.1

Step-by-step explanation:

The value of 0=0

0\neqany other # besides zero

if you are wanting to round, you can round to the tenths place and say that 37.06 rounds up to 37.1

7 0
3 years ago
Read 2 more answers
Ana is having dinner at a restaurant. Her bill before adding sales tax and tips is $23.20. The restaurant add the sales tax of 7
Aneli [31]
Start by finding 7% of the $23.20:

\frac{7}{100} *23.20=1.624

Now add this to $23.20:

23.20+1.624=24.824

Now, let's find 18% of this new total with tax to find the tip amount:

\frac{18}{100} *24.824=4.46832

This is the tip amount. And finally, let's add this to the 24.824:

24.824+4.46832=29.29232

Not sure if you were given any instructions about rounding, but Ana's cost will be around $29.29.

Hope this helps.
4 0
3 years ago
Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will
slavikrds [6]

Answer:

\text{tan}(\theta)=\frac{\sqrt{119}}{5}

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity \text{sin}^2(\theta)+\text{cos}^2(\theta)=1. She is told that 0\leq \theta\leq \frac{\pi}{2} and \text{cos}(\theta)=\frac{5}{12}.

First of all, we will find value of sine theta using the given identity.

\text{sin}^2(\theta)+\text{cos}^2(\theta)=1

\text{sin}^2(\theta)+(\frac{5}{12})^2=1

\text{sin}^2(\theta)+\frac{25}{144}=1

\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}

\text{sin}^2(\theta)=\frac{144-25}{144}

\text{sin}^2(\theta)=\frac{119}{144}

\text{sin}(\theta)=\sqrt{\frac{119}{144}}

\text{sin}(\theta)=\frac{\sqrt{119}}{12}  

\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}

\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}

\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}

Therefore, \text{tan}(\theta)=\frac{\sqrt{119}}{5}.

5 0
3 years ago
(4 2/3+ 1 1/6) - 1 5/6<br>​
Olin [163]

Answer:

The answer is 4.

Step-by-step explanation:

Change 4 2/3 to 4 4/6 to match 11/6.

Add 4 4/6 and 11/6 and get 4 15/6.

Subtract 4 15/6 by 15/6 and get 4.

4 is the answer.

I hope this helps.

Have a nice day!

3 0
3 years ago
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