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lara [203]
3 years ago
11

etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x

− 2y = 4 x + 1 3 y = 2 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

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Help quickly please!!!
sineoko [7]

Answer:

M= -2

B=1

Step-by-step explanation:

<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>

<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>

\frac{y1-y2}{x1-x2}

<em>So now input how much it changes by adding the numbers from each coordinate:</em>

\frac{(-3)-(1)}{(2)-(0)}

<u>Simplify:</u>

<u />\frac{-4}{2}<u />

<em>But we write it as:</em>

-4/2

<em>This is because this looks more like division</em>

<u>Divide:</u>

-4/2=-2

So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>

I hope this helps u pls give a brainliest and a thx ;)

7 0
2 years ago
What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3
rodikova [14]
One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do 3^{(2-4)} since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get 3^{-2}, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
6 0
3 years ago
Read 2 more answers
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Vladimir79 [104]
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2 years ago
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Cerrena [4.2K]

Answer:

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Step-by-step explanation:

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sleet_krkn [62]

Answer:

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Step-by-step explanation:

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