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photoshop1234 [79]
4 years ago
8

Solve this system of equations using

Mathematics
2 answers:
Neporo4naja [7]4 years ago
8 0

Answer: Please Mark Brainliest :) !!

The answer is x= 6 and y= 27.

Step-by-step explanation:

3x + 9 = 5x + 3

-2x + 9 = -3

y = 5x -3

x = 6

y = 5x -3

y = 5(6) -3

y = 27

denis23 [38]4 years ago
5 0

First, when solving for x, you would need to make one of the equation into standard form, which would be Ax + By = C. So, I'm going to use <em>y = 5x -3</em>.

<em>y = 5x - 3  </em>|| subtract -5x on both sides from the equal sign

<em>5x + y = -3  </em>|| there you have one equation in standard form

Now, all you have to do now is substitute the y-intercept form equation into the standard form equation. As you can see, you would substitute the y-intercept form into the <em>y</em> in the standard form equation.

<em>5x + y = -3 </em>

<em>5x + 3x + 9 = -3  </em>|| combine like terms

<em>8x + 9 = -3  </em>|| subtract 9 on both sides from the equal sign

<em>8x = 6</em>  || divide by 8 on both sides from the equal sign

<em>x = 0.75</em>  || final answer for x

Then for solving y, take any equation in y-intercept form and substitute with the <em>x </em>in the equation, which I'm going to use <em>y = 3x + 9</em> in this case.

<em>y = 3x + 9  </em>|| substitute with x

<em>y = 3 (0.75) + 9  </em>|| multiply 3 and 0.75

<em>y = 3.75 + 9  </em>|| add 3.75 and 9

<em>y = 12.75</em><em>  </em>|| final answer for y

Thus, <em>x = 0.75</em> and <em>y = 12.75.</em>

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Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

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Given:

Number of people bought tickets for comedy = \frac{2}{5}

Number of people bought tickets for horror = \frac{1}{4}

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