Question

Y= 6x+5
y= -x+1 find the intersection point

Answer 1

(4/7 , 1 4/7)

Explanation:

Answer 2

`\sf (-(4)/(7) ,1(4)/(7) )`

given:

• y = 6x+5

• y = -x+1

insert question 2 into 1

`\sf -x + 1 = 6x + 5`

`\sf -x - 6x = 5 - 1`

`\sf -7x = 4`

`\sf x = -(4)/(7)`

find the value of y:

`\sf y = -x + 1`

`\sf y = -(-4)/(7) + 1`

`\sf y = (4)/(7) + 1`

`\sf y = (4)/(7) +(7)/(7)`

`\sf y = (11)/(7)`

`\sf y = 1(4)/(7)`

Therefore coordinates: (x,y) =
`\sf (-(4)/(7) ,1(4)/(7) )`