Question

Find the point of intersection of the following system of equations.
y = x + 9
y = -2x + 6

Answer 1

It's asking for the solution.

We can plug in x + 9 for 'y' in the 2nd equation to solve for 'x'.

y = -2x + 6

x + 9 = -2x + 6

Subtract 9 to both sides, what's 6 - 9?

Answer 2

-3

Answer 3

Yes, so we have:

x = -2x - 3

Add 2x to both sides, what's x + 2x?

Answer 4

3x?

Answer 5

Yep, so we have:

3x = -3

Now divide 3 to both sides, what's -3 / 3?

Answer 6

-1

Answer 7

Yes, so the x-value of our intersection is -1, we can plug this into any of the two equations to get our y-value.

y = x + 9

y = -1 + 9

Add -1 + 9

Answer 8

8

Answer 9

Yes, so the y-value of our intersection is 8.

So our full point is (-1, 8).

Answer 10

thank you