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  1. Step-by-step explanation:

    As the given equation is

    [tex]-x-4y=-10[/tex]

    We have to find the ordered pair which satisfies the equation.

    So,

    [tex]-x-4y=-10[/tex]........[A]

    Plug x = 0 in Equation [A] to find the y-intercept

    [tex]-(0)-4y=-10[/tex]

    [tex]-4y=-10[/tex]

    [tex]\mathrm{Divide\:both\:sides\:by\:}-4[/tex]

    [tex]\frac{-4y}{-4}=\frac{-10}{-4}[/tex]

    [tex]y=\frac{5}{2}[/tex]

    So,

    when x = 0, then y = 5/2

    In other words, (0, 5/2) is the ordered pair of the equation [tex]-x-4y=-10[/tex].

    Putting the value of x = 0, and y = 5/2 in Equation [1] for validation of the ordered pair (0, 5/2)

    [tex]-x-4y=-10[/tex]

    [tex]-0-4(\frac{5}{2} )=-10[/tex]

    [tex]-(\frac{20}{2} )=-10[/tex]

    [tex]-10=-10[/tex]      ∵ L.H.S = R.H.S

    Hence, (0, 5/2) is one of the ordered pairs which is a solution to the equation [tex]-x-4y=-10[/tex].

    Similarly, x-intercept can be found by putting y = 0 in [tex]-x-4y=-10[/tex].

    So,

    [tex]-x-4y=-10[/tex]

    [tex]-x-4(0)=-10[/tex]

    [tex]-x=-10[/tex]

    [tex]x=10[/tex]

    So, (10, 0) is another ordered pair (x-intercept) which satisfies the equation [tex]-x-4y=-10[/tex].

    The graph is also attached for the equation [tex]-x-4y=-10[/tex] where you can easily figure out x and y intercepts.

    Keywords: ordered pair, x-intercept, y-intercept, graph, solution

    Learn more ordered pair from

    #learnwithBrainly

    [tex]What ordered pair is a solution to the equation -x-4y=-10[/tex]

  2. D

    Step-by-step explanation:

    we let that,

    (3,2)=(x,y)

    given the equation that,

    x-4y=10

    so,we substitute the values of (x,y)=(3,2)it become

    3-4(2)=-5

    and test another coordinates(-3,3)

    -3-4(3)=-15

    botha answers doesn't give 10 as the answer so the answer is D(neither)

  3. x=−4y+10

    Step-by-step explanation:

    Let's solve for x.

    −x−4y=−10

    Step 1: Add 4y to both sides.

    −x−4y+4y=−10+4y

    −x=4y−10

    Step 2: Divide both sides by -1.

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