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3 years ago

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

System 1

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

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

step 1

Multiply equation B by -1 both sides

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

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

step 2

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. x - y = 4 3x - 2y = -5

Vedmedyk [2.9K]

Given:

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.

Solution:

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 $\neq$ any 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 $\text{cos}(\theta)=\frac{5}{12}$ .