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matrenka [14]
4 years ago
14

8x-6y=-20 -16x+7y=30

Mathematics
1 answer:
o-na [289]4 years ago
8 0
<span>Simplifying 8x + -6y = -20

</span><span>Solving 8x + -6y = -20

</span><span>Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right

</span><span>Add '6y' to each side of the equation. 8x + -6y + 6y = -20 + 6y

</span><span>Combine like terms: -6y + 6y = 0 8x + 0 = -20 + 6y 8x = -20 + 6y
</span>
Divide each side by '8'. x = -2.5 + 0.75y


<span>Simplifying x = -2.5 + 0.75y</span>

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1. Write an equation in point slope form for the line that has a slope of 6 and contains the point (-8,-7).
antiseptic1488 [7]
1.    y - y₁ = m(x - x₁)
     y - (-7) = 6(x - (-8))
       y + 7 = 6(x + 8)
       y + 7 = 6(x) + 6(8)
       y + 7 = 6x + 48
       <u>   - 7          -   7</u>
             y = 6x + 41

2. <u>y₂ - y₁</u> = <u>-8 - (-3)</u> = <u>-8</u><u> + 3</u> = <u>-5</u> = -1²/₃
    x₂ - x₁    -1 - (-4)    -1 + 4      3

3. 2x -  3y = 11
    <u>3x + 3y =   9</u>
            <u>5x</u> = <u>20</u>
             5      5
              x = 4
     2x - 3y = 11
   2(4) - 3y = 11
       8 - 3y = 11
     <u>- 8          - 8</u>
           <u>-3y</u> = <u>3</u>
            -3    -3
              y = -1
        (x, y) = (4, -1)

4. 2x - 5y = -7  ⇒   -6x + 15y =  21
    5x - 3y = 11 ⇒ <u>-25x + 15y = -55</u>
                                        <u>19x</u> = <u>76</u>
                                         19     19
                                            x = 4
                                   2x - 5y = -7
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                                     8 - 5y = -7
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                                         <u>-5y</u> = <u>-15</u>
                                          -5      -5
                                            y = 3
                                      (x, y) = (4, 3)

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