What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 100
y = x + 2

Question

What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 100
y = x + 2

campbell_st · Answer

well substitute the 2nd equation into the 1st equation 

$$x^2 + (x + 2)^2 = 100$$

which becomes 

$$x^2 + x^2 + 4x + 4 - 100 = 0$$

simplify the equation then solve x by factoring... 

hope it helps

anonymous · Answer

i don't understand how to do that @campbell_st

anonymous · Answer

Do you not know how to factor or simplify the equation?

anonymous · Answer

no

anonymous · Answer

so both?

anonymous · Answer

yes no to both

campbell_st · Answer

well the only other suggest I have, to find the point of intersection is to graph the 2 equations with some software and then find the points of intersection.

campbell_st · Answer

use this site, just enter the equations separately and you'll find the points of intersection. 

tps://www.desmos.com/calculator

anonymous · Answer

there are 2points of intersection though

campbell_st · Answer

thats correct, it will show both... 

just type 

y = x + 2

press enter

then 

x^2 + y^2 = 100

it will graph both equations.. 

then zoom out so you see the points of intersection... 

then click on the points to get the coordinates

hope it helps

anonymous · Answer

it does thank you!