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3 votes
What is the solution of the system of equations?

y = 3x + 7
y = x – 9


(–1, –10)


(–8, –17)


(–17, –8)


(4, 19)

2 Answers

3 votes
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)
User Flatbush
by
8.4k points
5 votes

Answer:

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

Solution is (-8,-17)

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)

User Vasily  Bodnarchuk
by
7.8k points

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