Question

How many solutions does this system
have?
x + 2y = 10
2x + 8y
8y = 16
A. None
B. One
C. Infinite

Answer 1

Answer:

B. One

Step-by-step explanation:

Answer 2

x+2y=10
2x+8y=16

x=-2y+10

2x+8y=16
2(-2y+10)+8y=16
-4y+20+8y=16
4y=-4
y=-1

x=-2y+10
x=-2(-1)+10
x=2+10
x=12

This means that there can be only one solution (12,-1).