What is the solution of the system of equations?

y = 3x + 7
y = x – 9

(–1, –10)

(–8, –17)

(–17, –8)

(4, 19)

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Respuesta :

kphung76127 kphung76127 · Answer 1 · 2017-09-07T18:28:14+02:00

Since both equations define y, they should be equivalent.

3x+7=x-9
2x+7=-9
2x=-16
x=-8

Plug x in
y=(-8)-9
y=-17

Final answer: (-8,-17)

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lisboa lisboa · Answer 2 · 2019-07-05T15:10:19+02:00

Answer:

the value of x=-8 and y=-17

Solution is (-8,-17)

Step-by-step explanation:

[tex]y = 3x + 7[/tex]

[tex]y = x - 9[/tex]

Both the equation have y on the left hand side,

To solve both equation we set them equal and solve for x and y

Replace y with 3x+7 in second equation

[tex]3x+7=x-9[/tex]

Subtract x on both sides

[tex]2x+7=-9[/tex]

Subtract 7 on both sides

[tex]2x=-16[/tex]

Divide by 2 on both sides

[tex]x=-8[/tex]

Now plug in -8 for x in second equation

[tex]y = x -9[/tex]

[tex]y = -8 - 9=-17[/tex]

the value of x=-8 and y=-17

Solution is (-8,-17)