Question

What is the solution of the system of equations?

Answer 1

Answer:

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

Solution is (-8,-17)

Step-by-step explanation:

$y = 3x + 7$

$y = x - 9$

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

$3x+7=x-9$

Subtract x on both sides

$2x+7=-9$

Subtract 7 on both sides

$2x=-16$

Divide by 2 on both sides

$x=-8$

Now plug in -8 for x in second equation

$y = x -9$

$y = -8 - 9=-17$

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

Solution is (-8,-17)

Answer 2

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)