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Savatey [412]
3 years ago
15

2x - 4y = 12 3x - 5y = 20

Mathematics
1 answer:
vitfil [10]3 years ago
7 0
You multiply the first equation by 3 and the second one by 2:
3*(2x - 4y = 12) = 6x - 12y = 36
2*(3x - 5y =20) = 6x - 10y = 40
Then use elimination:
6x - 12y = 36
- (6x - 10y = 40)
= -2y = -4
Solve:
y = 2
Then, plug 2 into the first equation and solve:
2x - 4(2) = 12
2x - 8 = 12
2x = 20
x = 10
There is the answer, x = 10 and y = 2.

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Graph g(x) = 3x^2 - 12x - 3
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<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

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          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

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g(2) = 3(2)² - 12(2) - 3

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So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

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       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


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