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

y2 + x2 = 65
y + x = 7

Question

What is one of the solutions to the following system of equations?

y2 + x2 = 65
y + x = 7

anonymous · Answer

@Preetha

luigi0210 · Answer

Use substitution

anonymous · Answer

(−8, 1)

 (1, 6)

 (6, 1)

 (9, −2)

luigi0210 · Answer

We are here to guide you to your answer, not give you an answer.

anonymous · Answer

calculate the value of x from second equation and put it into second equation. and try to solve it by own.

anonymous · Answer

can you show me?

anonymous · Answer

@gsRttN

austinl · Answer

$$y^2 + x^2 = 65$$
$$y + x = 7$$
x = -y + 7
$$y^2 + (-y + 7)^2 = 65$$

austinl · Answer

solve for y, and then plug it into the other equation.

anonymous · Answer

a or c

anonymous · Answer

c

anonymous · Answer

i am getting two value of each x and y   , (-1,8) and other one is (6,1)

anonymous · Answer

you can directly put value of x or y from second equation into first and can solve it..

OR

you can make complete square of first equaiton by adding +2xy  and -2xy in first equation, and you will get complete square of x+y and then you can put value of x+y in it.
 and it will be easy to calculate.