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hichkok12 [17]
3 years ago
9

Solve the system of equations below.

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

A. (3, -3)

Step-by-step explanation:

Let's use the addition/elimination for this to avoid fractions.  You could solve one of the equations for y or x and then sub that value into the other equation, but you would have to deal with fractions along the way, so let's just not.  Using the addition/elimination (they're the same thing; math books sometimes use one or the other), we line up our equations:

 5x  +  2y  =  9

 2x  -  3y   = 15

It looks like if we want to eliminate the y terms, we can multiply the top equation by 3 and the bottom equation by 2 to get a whole new set of equations:

 15x  +  6y  =  27

  4x  -   6y  =  30

Now we can see that when we add down the columns, the y's cancel each other out.  6y's minus 6y's leaves us with no y's.  What we are left with is

19x = 57 so

x = 3.

Now we will sub that 3 back in to either of the original equations to solve for y:

2(3) - 3y = 15 and

6 - 3y = 15 and

-3y = 9 so

y = -3

The solution set then is (3, -3)

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Answer:

$20

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If you buy 4 pounds of chicken, you multiply 5.75 times 4. That gives you $23. You have a coupon for $3 off the final amount. $23-$3 = $20.

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3x         + 5z = 12       1x - 2y - 2z = 2
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3x         + 5z = 12 ⇒ <u>3x         + 5z = 12</u>          x - 4z + 4z = 1 + 4z
                                 -2x + 2y - 2z = -3                         x = 1 + 4z
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                                                               1 - 2y + 4z - 2z = 2
                                                                      1 - 2y + 2z = 2
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                                                                                  <u>-2y</u> = <u>1 - 2z</u>
                                                                                   -2        -2
                                                                                     y = -0.5 + z
                                                         x + 2(-0.5 + z) - 2z = 2
                                                            x - 1 + z - 2z + 2 = 2
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xeze [42]

They need to babysit for 10 hours to have same money each day.

Step-by-step explanation:

On Thursday;

Charges = $3 per hour

Initial fee = $40

let x be the number of hours.

T(x) = 3x+40

On Friday;

Charges = $4 per hour

Initial fee = $30

F(x)= 4x+30

The cost will be same when;

T(x) = F(x)

3x+40=4x+30\\40-30=4x-3x\\10=x\\x=10

They need to babysit for 10 hours to have same money each day.

Keywords: functions, addition

Learn more about functions at:

  • brainly.com/question/3071107
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#LearnwithBrainly

5 0
3 years ago
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bogdanovich [222]

<u><em>Question 28:</em></u>

S-2\pi r^2=2\pi rh                     Subtract 2\pi r^2 on both sides

\frac{S-2\pi r^2}{2\pi r} =h         Divide 2\pi r on both sides

<u><em>*(Answer)*=</em></u>  \frac{S-2\pi r^2}{2\pi r} =h


<u><em>Question 30:</em></u>

a*t=v_{1}+v_{0}                  Multiply t on both sides

a*t+v_{0} =v_{1}                 Subtract v_{0} on both sides

<u><em>*(Answer)*=</em></u> a*t+v_{0} =v_{1}

Hope This Helps

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