Question

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

Answer 1

is it y power square?

Answer 2

@maaryliin, you can only give one medal per solution.

Answer 3

If others wish to give those who contribute the best response more medals, then they can earn more medals that way. Please do not false advertise medal counts.

Answer 4

it is y square root of two yes

Answer 5

y2 + x2 = 65
y + x = 7

lets solve for x.
y = -x + 7

(7-x)^2 + x^2 = 65
foil the (7-x)^2 and combine the like terms , you will get a quadratic equation.

Answer 6

From there use the quadratic formula or factor it ( if possible to factor with a first look ).

Answer 7

there are many ways to sloving this type of question
in which one is this
y^2 + x^2=65 ...........(1)
y+x =7 ...............(2)
take eq(2) first
y=7-x .....(3)
put equation (3) in eq(1)
(7-x)^2 +x^2 = 65
49 -14x + x^2 +x^2=65
2x^2 -14x =65-49
taking 2 common from left hand side equation
2(x^2-7x)=16
x^2-7x=8 since, 16\2=8
x^2-7x-8=0
now factorized it
x^2+x-8x-8=0
x(x+1)-8(x+1)=0
(x-8)(x+1)=0
either,
x-8 =0 or x+1=0
x=8 or x=-1

now first we put x = 8 in eq(3)
since, y=7-x
y=7-8
y=-1

now we put x=-1 in eq(3)
since, y= 7-x
y=7-(-1)
y=7+1
y=8

SOLUTION SETS = {( 8,-1 ) , ( -1,8 ) }
this is the correct answer

Answer 8

yeah but what i dont get is that the problem is multiple choice & this is all it gives me look not the ansewr you got Select one:
a. (-8, 1)
b. (1, 6)
c. (6, 1)
d. (9, -2)