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Solve the system using substitution. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)

-5x + y = -1
y - 4x = -3

Respuesta :

kudzordzifrancis

Answer:

The solution is (-2,-11)

Step-by-step explanation:

The given system is

[tex]-5x+y=-1[/tex]

and

[tex]y-4x=-3[/tex]

Make y the subject in the first equation to get;

[tex]y=5x-1[/tex]

Put [tex]y=5x-1[/tex] into the second equation.

[tex]5x-1-4x=-3[/tex]

Group similar terms;

[tex]5x-4x=-3+1[/tex]

[tex]x=-2[/tex]

Put [tex]x=-2[/tex] into [tex]y=5x-1[/tex].

This implies that;

[tex]y=5(-2)-1[/tex]

[tex]y=-10-1[/tex]

[tex]y=-11[/tex]

The solution is (-2,-11)

alinakincsem

Answer:

(-2, -11)

Step-by-step explanation:

We are given the following two equations:

[tex]-5x + y = -1[/tex] --- (1)

[tex]y - 4x = -3[/tex] --- (2)

From equation (2):

[tex]y=4x-3[/tex]

Substituting this value of y in equation (1) to get:

[tex]-5x + y = -1[/tex]

[tex]-5x + (4x-3) = -1[/tex]

[tex]-5x+4x=-1+3[/tex]

[tex]x=-2[/tex]

Now substituting the value of x in equation (2) to get:

[tex]y - 4(-2) = -3[/tex]

[tex]y+8=-3[/tex]

[tex]y=-8-3[/tex]

[tex]y=-11[/tex]

Therefore, the solution of the equations as an ordered pair is (-2, -11).

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