Value of x, if x^2 - y^2 = 77 and x + y = 11

[Love21]

If x(squared) - y(squared) = 77
and x + y = 11
What is the value of x?

So my first line of thinking was to plug in 7 and 4, but that obviously wouldn't work because those don't even come
close to 77 when subtracting one from the other(even when they are squared). So do I need to find a negative number?
Or how would I begin to figure this out?
Suggestions would be helpful.
Thank you!

 

[stapel]

If x(squared) - y(squared) = 77
and x + y = 11
What is the value of x?!

This one works very similarly to this one. :wink:

Eliz.

 

[Love21]

(x + y) (x - y) = 77
(x + y) = 11

(11) (x - y) = 77

brain freeze...what's the next step?
add the 11 and 77 together? or.....

 

[stapel]

(11) (x - y) = 77

brain freeze...what's the next step?

Effectively, you have "11X = 77". To learn how to solve this sort of one-step linear equations, try here:

. . . . .Google results for "solving linear equations"

Have fun!

Eliz.