Which of the following systems is dependent? Ox-y= 2 and x + y=-2 x-y= 2 and -2x + 2y=-4 O x-y=2 and

Which of the following systems is dependent?
Ox-y= 2 and x + y=-2
x-y= 2 and -2x + 2y=-4
O x-y=2 and 3x – 3y = 2
x-y= 2 and -x- y=-2

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  1. (4, 2)

    General Formulas and Concepts:

    Pre-Algebra

    Order of Operations: BPEMDAS

    Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

    Equality Properties

    Algebra I

    TermsSolving systems of equations using substitution/elimination

    Step-by-step explanation:

    Step 1: Define Systems

    -2x + 2y = -4

    2x - 3y = 2

    Step 2: Rewrite Systems

    2x - 3y = 2

    Add 3y to both sides:                    2x = 3y + 2

    Step 3: Redefine Systems

    -2x + 2y = -4

    2x = 3y + 2

    Step 4: Solve for y

    Substitution

    Substitute in 2x:                    -(3y + 2) + 2y = -4Distribute -1:                           -3y - 2 + 2y = -4Combine like terms:              -y - 2 = -4Isolate y term:                        -y = -2Isolate y:                                 y = 2

    Step 5: Solve for x

    Define equation:                    2x - 3y = 2Substitute in y:                       2x - 3(2) = 2Multiply:                                  2x - 6 = 2Isolate x term:                        2x = 8Isolate x:                                 x = 4

  2. Arrange in slope intercept form
    2y = 2x -4
    y = x - 2

    So, the line would go upcrossing the y axis at -2hope this helps

  3. x=4, y=2 (4,2)

    Step-by-step explanation:

    This is a system of equations.

    -2x+2y=-4

    2x-3y=2

    I'll use the elimination method to solve this.

    add the two equations together.

    what's left:

    -y=-2

    multiply both by -1

    y=2

    now, substitute 2 as y into one of the other equations.

    For example:

    -2x+2(2)=-4

    -2x+4=-4

    -2x=-8

    x=4

    hope this helps!

  4. no solution

    Step-by-step explanation:

    To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:

    ... x - y = 4

    To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by -2:

    ... x - y = 2

    These are inconsistent equations, hence have no solution.

  5.   (x, y) = (-2, -4)

    Step-by-step explanation:

    I like to start by putting the equations into standard form. That requires removing any common factors and making the leading coefficient positive.

      -2x +2y = -4   ⇒   x -y = 2 . . . . . . divide by -2

      3x +3y = -18   ⇒   x +y = -6 . . . . . divide by 3

    __

    Now, we can add these two equations to eliminate y:

      (x -y) +(x +y) = (2) +(-6)

      2x = -4 . . . . simplify

      x = -2 . . . . . divide by 2

    Substituting into the second equation gives ...

      -2 +y = -6

      y = -4 . . . . . add 2

    The solution to the system of equations is (x, y) = (-2, -4).

    [tex]Find the solution to the system of equation -2x+2y=-4 3x+3y=-18[/tex]

  6. x=0 and y=−2

    keep scrolling it is kind of long

    Step-by-step explanation:

    −2x+2y=−4,3x−2y=4

    −2x+2y=−4for x:

    −2x+2y=−4

    −2x+2y+−2y=−4+−2y

    −2x=−2y−4

    -2x/-2=-2y-4/-2

    x=y+2

    Substitute y +2 for x in3x−2y=4:

    3x−2y=4

    3(y+2)−2y=4

    y+6=4

    y+6+−6=4+−6

    y=−2

    Substitute −2 for y in x=y+2:

    x=y+2

    x=−2+2

    x=0

    x=0 and y=−2

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