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fiasKO [112]
4 years ago
14

Your friend, Taylor, missed class today and needs some help identifying solutions to systems. Explain to Taylor how to find the

solution(s) of any system using its graph.

Mathematics
1 answer:
bekas [8.4K]4 years ago
6 0

Answer:

Consider the system of equations,

2x-3y=10 and x-5y=15

As we know that,

'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.

So, after plotting the given graphs, we see that,

The only intersection point is (0.714,-2.857).

Thus, the solution of the system is x= 0.714 and y= -2.857.

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Solve the following system of equations for all three variables.
xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1)         -5x + 3y - 5z = +8

                     <u>7x – 3y + 3z = 8</u>   {Add}

                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

     3y   + 20 = 8

               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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7 0
3 years ago
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Laura is training for a triathlon. One of her workouts requires her to do 3 rounds of each of the
Vanyuwa [196]

Step-by-step explanation:

<h2><em><u>This triathlon distance requires a 2.4 mile swim (3.9K), 112 mile bike (180.2K), and 26.2 mile run (42.2K). Depending on your fitness level, course conditions, and the weather on race day, you can expect to complete these three legs in about 10 to 17 hours.</u></em></h2>
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3 years ago
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“[The city’s engineers excelled in areas] neglected by the Greeks, such as the construction of roads and aqueducts, and of sewer
svetoff [14.1K]

Answer:

the greeks neglected roads

b. roads

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3 years ago
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I really need help on question 19, 21, and 23 please help
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Answer:

there blurd out  

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3 years ago
Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?
san4es73 [151]

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

z^{2} =\frac{x}{y}

In this problem we have

z=\frac{1}{2}

substitute

(\frac{1}{2})^{2} =\frac{x}{y}

(\frac{1}{4}) =\frac{x}{y}

x=\frac{1}{4}y

therefore

Polygon q’s area is one fourth of polygon p’s area

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3 years ago
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