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

opti · Answer

Use substitution

radar · Answer

Express y in terms of x using the 2nd equation.
y = 7 - x  
Now determine y^2 using (7 - x)^2 getting x^2 - 14y + 49
Substitute this for Y^2 in the first equation getting:
x^2 -14y + 49 + x^2 = 65     Now simplify and solve the quadratic by factoring.

radar · Answer

As opti suggested "use substitution"

radar · Answer

@fatimah66 Can you continue the problem getting the solution?

radar · Answer

If not, I can continue to the point where you can take the hand-off.

radar · Answer

Just say the word.

radar · Answer

next step.  simplify by combining similar terms getting:
2x^2 - 14x + 49 = 65
2x^2 -14x - 16 = 0  Divide thru by 2 getting
x^2 - 7x - 8 = 0      Now solve that quadratic (suggest factoring).
Good luck with your studies.