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Elena-2011 [213]
3 years ago
7

Use elimination to solve each system if equation 3x+2y=0and x-5y=17

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

y = -3

x=2

Step-by-step explanation:

3x + 2y = 0

x - 5y=17

to use the elimination you have to make one of the numbers same

so

3(x-5y=17)

and you would have to change the sign so that both of the 3x could cancel out.

New system of equation

3x + 2y = 0

-3x+15y=-51

17y=-51

y = -3

so we know the y value so now you could find the x value take one equation

x - 5y=17

x +15=17

x = 2

you could try it with both of the equations

3x + 2y = 0

3x + - 6=0

3x-6=0

3x=6

x=6/3

x=2

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mixas84 [53]

Answer:

Please check the attached figure!

Step-by-step explanation:

Part a)

Point A is located at the x-coordinate x=-4 and y-coordinate y=1.

Hence, the coordinates of point A = (-4, 1)

Part b)

Point B(3, -2) has been plotted and is shown in the attached figure.

It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)

Part C)

Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.

Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.

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0.2x + 1 = 1.6x + 3.1<br> What value of x satisfies the equation above?
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Answer:

x = -1.5

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

0.2x + 1 = 1.6x + 3.1

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 0.2x on both sides:          1 = 1.4x + 3.1
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  4. Rewrite:                                            x = -1.5

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
  2. Multiply:                           -0.3 + 1 = -2.4 + 3.1
  3. Add:                                 0.7 = 0.7
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