Question

Which of the following systems has equations that are dependent?

1. 2x + 2y = 6
4x + 4y = 4

2. 2x + 2y = 6
2x - 2y = 6

3. y = -x+3
y = -x-3

4. 2x+2y = 6
y = -x + 3

Answer 1

Answer : number 4 is a dependent system
Step-by-step explanation:
If we look at number 4
2x+2y=6 , y= -x+3
2(x+y)=6
x+y=6/2=3
y=-x+3

Now we see that the two equation have the same slope (-x) and the same y intercept (+3) we can clearly say that these 2 equation are dependent because it has infinite solution