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3 years ago

Use elimination to solve the system of equations. Show your work 5×-3y=6,2×+5y=-10.

Mathematics

2 answers:

Fofino [41]3 years ago

6 0

Answer:

5(5x-3y=6)

3(2x+5y=-10)

25x-15y=30

6x+15y=-30

31x= 0

x = 0

5(0)-3y=6

-3y=6

y= -2

(0,-2)

Vadim26 [7]3 years ago

3 0

Answer:x = 0, y = - 2

Step-by-step explanation:

The given system of equations is expressed as

5x - 3y = 6 - - - - - - - - - - - - 1

2x + 5y = - 10 - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 2 and equation 2 by 5. It becomes

10x - 6y = 12 - - - - - - - - - - - 3

10x + 25y = - 50- - - - - - - - - - - 4

Subtracting equation 2 from equation 1, it becomes

- 31y = 62

Dividing the Left hand side and the right hand side of the equation by

- 31, it becomes

- 31y/ - 31 = 62/- 31

y = - 2

Substituting y = - 2 into equation 1, it becomes

5x - 3 × - 2 = 6

5x + 6 = 6

5x = 6 - 6 = 0

x = 0

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Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. De

eduard

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

So,

Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee

75 ≥ (12.95)(a) + 4.95

12.95a + 4.95 ≤ 75

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2 years ago

Complete the table of values for this absolute value function. Then use the drawing tool(s) to graph the function. F(x)-2|x+1|-1

rusak2 [61]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the equation

$f\left(x\right)=-2|x+1|-1$

As some of the absolute rules are:

$\left|a\right|=a,\:a\ge 0$

$\:|-a|=a,\:\quad \:a>0$

NOW, let us solve!

Let us substitute all the table values

Putting x = -4

$y=-2\left|-4+1\right|-1$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$y=-6-1$

$y=-7$

So, when x = -4, then y = -7

Putting x = -3

$y=-2|-3+1|-1\:$

$y=-4-1$

$y=-5$

when x = -3, then y = -5

Putting x = -2

$y=-2\left|-2+1\right|-1$

$y=-2-1$

$y=-3$

when x = -2, then y = -3

Putting x = -1

$y=-2\left|-1+1\right|-1$

$y=-0-1$

$y=-1$

when x = -1, then y = -1

Putting x = 0

$y=-2\left|0+1\right|-1$

$y=-2-1$

$y=-3$

when x = 0, then y = -3

Putting x = 1

$y=-2\left|1+1\right|-1$

$y=-4-1$

$y=-5$

when x = 1, then y = -5

The graph is also attached below.

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