Question

What is one of the solutions to the following system of equations?

y2 + x2 = 53
y − x = 5

(−10, −5)

(−7, −2)

(7, 2)

(5, 10)

Answer 1

Multiply the second equation throughout by 2

Answer 2

I don't understand the exponents part... I got x^4 + 10x = 28

Answer 3

And then subtract the two equations :)

Answer 4

OOOOhhhhh!

Answer 5

Thank you!

Answer 6

Wait

Answer 7

Is it 2x or x^2? in the first equation?

Answer 8

oh sorry x^2

Answer 9

its y^2 + x^2

Answer 10

Okay in the second equation

Answer 11

Square both sides

Answer 12

You need to use the algebraic identity

Answer 13

y^2 - x^2 = 25

Answer 14

From the second equation you get y = x + 5
Put this in (1): y^2 + x^2 = 53
(x+5)^2 + x^2 = 53
expand, simplify and solve the quadratic equation.

Answer 15

i.e, (a-b)^2= a^2+b^2-2ab

Answer 16

Then you just subtract one from the other :)

Answer 17

ok I think I got it now thank you :)

Answer 18

Best of luck! :)

Answer 19

sonshine, do what ranga said.