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tia_tia [17]
3 years ago
13

Solve the system of equations by any method. 5x+9y =16 x+2y =4

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

-5\times(x+2y=4) \rightarrow -5x - 10y = -20

Therefore, our system now becomes:

\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.

Now, we can add these two equations together and solve for y.

\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4

Now, we can substitute our value for y into one of the equations and solve for x.

x+2(4)=4\\\\x + 8 = 4\\\\x = -4

Therefore, our final solution is (-4, 4).

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6

24% = \frac{24}{100}

multiply 25 by this fraction

25 × \frac{24}{100} = \frac{25(24)}{100} = 6


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3 years ago
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AleksandrR [38]

Answer:

Vertex: (1, 6)

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Step-by-step explanation:

8 0
2 years ago
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brai
Artemon [7]

Answer:

  • 1) y = 13.5x + 1
  • 2) y = 12x + 4
  • 3) Sam won the race

Step-by-step explanation:

<h3>Part 1</h3>

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

  • y = 13.5x + 1
<h3>Part 2</h3>

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

  • y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>

<u>After 15 seconds the distance from the start line is:</u>

  • Sam   ⇒ y = 13.5*15 + 1 = 203.5 ft
  • Alice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

5 0
2 years ago
Television sizes are labeled by the measure of the diagonal
Fittoniya [83]

Answer:

C. 55 inches

Step-by-step explanation:

a^2 = b^2 + c^2

a^2 = 47.5^2 + 27^2

a^2 = 2985.25

a = 54.637 = 55 inches

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3 years ago
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siniylev [52]
<span>10x-3=6x+85
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  x = 22</span>
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