<p>If x^2 - y^2 = 10 and x + y = 5, what is the value of x - y?</p>
<p>The answer is 2 but I need to how to get to the answer.....
Please show your work!</p>
<p>ok you have to set x= y-5, then insert that into the first equation. u get (y-5)(y-5)-y^2=10. once you factor that out you get y^2-10y-y^2+25=10. from that you frt -10y+ 25=10, -10y=-15y, y= 1.5. since y = 1.5, x must equal 3.5. thus 3.5-1.5=2. hope that helps :)</p>
<p>Factor.
x^2-y^2=(x+y)(x-y)=10
Since (x+y)=5, divide both sides by 5.
x-y = 2</p>
<p>Hope that helped!</p>