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BaLLatris [955]
3 years ago
12

What is the solution to -2(3x - 9) + 5x = -10?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0
-2(3x - 9) + 5x = -10
-6x + 18 + 5x = -10
-6x + 5x = -10 - 18
-x = -28
x = 28 <===
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harkovskaia [24]

Answer:

<h2><em><u>A to C = 25 </u></em></h2><h2><em><u>A to B = 13 </u></em></h2><h2><em><u>C to B = 37 </u></em></h2><h2><em><u></u></em></h2>

Step-by-Step Explanation:

<em><u>Perimeter</u></em> = 75

<em><u>Sides:</u></em>

2x + 3

3x + 4

2x - 9

<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

2x + 3 + 3x + 4 + 2x - 9  = 7x - 2

<h2><em><u>3. Place the equation back together</u></em></h2>

75 = 7x - 2

<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

75 = 7x - 2

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77 = 7x

<h2><em><u>5. Simplify the equation</u></em></h2>

77 = 7x

/7     /7

<h2><em><u>11 = x </u></em></h2>

<h2><em><u>6. Substitute the value of x into the side lengths.</u></em></h2>

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3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>

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Step-by-step explanation:

Step 1:

First, we plot the three points on the given graph.

The coordinates are given in the following form (x coordinate, y coordinate) where the symbol of the coordinates depends on the quadrant on which the point lies.

For the first quadrant, both x and y values are positive.

For the second quadrant, the x value is negative but the y value is positive.

For the third quadrant, both the values of x and y are negative.

For the fourth quadrant, the x value is positive but the y value is negative.

Step 2:

The first point has an x value of 2 and a y value of 1 since it is in the second quadrant, the coordinates are (-2, 1).

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