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The equations 3x-2y=-14 and 3x+y=-11 are plotted on the same set of axes. what are the coordinates of a point that's common to both equations? how do you know?​

Respuesta :

Answer:

14

Step-by-step explanation:

rorycampbell0721

Answer:

(-4, 1)

Step-by-step explanation:

Solve it as a system of equations:

[tex]3x-2y=-14\\3x+y=-11[/tex]

subtract the two equations

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

divide both sides by -3

[tex]y=1[/tex]

Plug this into the equation 3x + y = -11 to solve for x

[tex]3x + 1 = -11\\[/tex]

subtract 1 from both sides

[tex]3x = -12[/tex]

divide both sides by 3

[tex]x = -4[/tex]

So the answer is (-4, 1)

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