Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.)
y= x + 7
y= 49 − x^2
I found the smaller x-value which is (-7,0)
I need help with finding the larger x-value?

Question

Find all solutions (x, y) of the given system, where x and y are real numbers. (If there is no real solution, enter NO REAL SOLUTION.)
 y= x + 7
 y= 49 − x^2
I found the smaller x-value which is (-7,0)
I need help with finding the larger x-value?

anonymous · Answer

u need to equate both as following
x+7=49-x^2
or (x+7)-(x^2-7^2)=0
or(x+7)-(x-7)(x+7)=0
or(x+7(1-x+7)=0
or (x+7)(8-x)=0
hence x=-7 or x=8
if x=-7 y=0
if x=8 y=7+8=15
(-7,0) and (8,15) are the reqd solutions