Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
----------
2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
Answer:3
Step-by-step explanation:
cause 15-3-3-3-3-3 has 5 3's
Answer: ![\sqrt[5]{y}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7By%7D)
I realize its probably not the largest readable font. If you are having trouble reading it, it is the square root of y; however, there is a tiny little 5 in the upper left corner to indicate a fifth root. So you would read it out as "the fifth root of y"
The rule I'm using is
![x^{1/n} = \sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%7D)
and the more general rule we could use is
![x^{m/n} = \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D)
where m = 1. This rule helps convert from rational exponent form (aka fractional exponents) to radical form.
I'll solve it algebraically
x+y=4
x-3y=12
multiply first equatoin by -1 and add to second
-x-y=-4
<u>x-3y=12 +</u>
0x-4y=8
-4y=8
divide both sides by -4
y=-2
sub back
x+y=4
x+-2=4
add 2 to both sides
x=6
x=6
y=-2
(6,-2)
9514 1404 393
Answer:
(b) Symmetric property of congruence
Step-by-step explanation:
a) The transitive property says if a=b and b=c then a=c
b) The symmetric property says if a=b then b=a
c) The substitution property says if a=b and a=c then b=c
d) The reflexive property says a=a
__
The property of congruence of interest here is the <em>symmetric property</em>.