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juin [17]
3 years ago
10

-14x + 15y = 15 -21x - 20y = -10 Use substitution to find the x and y coordinates.

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
                  -14x + 15y = 15
        -14x + 14x + 15y = 14x + 15
                             15y = 14x + 15
                              15           15
                                 y = ¹⁴/₁₅x + 1
                   -21x - 20y = -10
     -21x - 20(¹⁴/₁₅x + 1) = -10
-21x - 20(¹⁴/₁₅x) - 20(1) = -10
         -21x - 18²/₃x - 20 = -10
                  -39²/₃x - 20 = -10
                            + 20  + 20
                          -39²/₃x = 10
                           -39²/₃   -39²/₃
                                   x = ⁻³⁰/₁₁₉
                                   y = ¹⁴/₁₅x + 1
                                   y = ¹⁴/₁₅(⁻³⁰/₁₁₉) + 1
                                   y = ⁻²⁸/₁₁₉ + 1
                                   y = ⁹¹/₁₁₉
                              (x, y) = (⁻³⁰/₁₁₉, ⁹¹/₁₁₉)
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tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

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3 years ago
Taylor ran 2 1/4 miles and walked 2 4/5 miles. How far did she run and walk
irinina [24]
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3 years ago
If the coordinates of a point p(m-3 , -6) = p(-7 , -6), then find the value of m .​
Ulleksa [173]

Answer:

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Step-by-step explanation:

i have this question on my exam lamoa

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Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

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4. Divide both sides by 8.

8x=-29

8       8

x= -3.625

Leave it in fraction form if decimal is unacceptable.

hope this helps.

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