Question

How do I solve this using substitution?

x squared + y squared = 13
2x - y = 4

Answer 1

first solve the second equation for y

2x - y = 4

-y = 4-2x

y = -4 + 2x

y = 2x - 4

Then plug this into the first equation

x^2 + y^2 = 13

x^2 + (2x-4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

I'll let you finish

Answer 2

Would x = 3\11?

Answer 3

Or never mind...that's not right

Answer 4

x = 3 and 1\5

Answer 5

yes, x = 3 or x = 1/5 are your two solutions for x

use them to find the corresponding values of y

Answer 6

y = -18\5 and 2

Answer 7

so what are the two ordered pairs

Answer 8

(3,2) and (1\5, -18\5)

Answer 9

very good

again remember the slashes go the opposite way, but you got it pretty much