Question

How many solutions would the system of equations y=2x+2 and y=6x+2 have

Answer 1

One solution

Explanation:

Set the equations equal to each other and solve for x:

`y=2x+2,y=6x+2\\\\2x+2=6x+2\\2=4x+2\\0=4x\\x=0`

Therefore, there is only one solution

Answer 2

Only one solution

Explanation:

y = 2x + 2 -------------(I)

y = 6x + 2 --------------(II)

Substitute y =6x + 2 in equation (I)

6x + 2 = 2x +2

6x = 2x + 2 - 2

6x = 2x

6x - 2x = 0

4x = 0

x = 0

Plugin x = 0 in equation (I)

y = 2*0 +2

y = 2

Solution: (0,2)