Question

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

Answer 1

Answer:

(4/7 , 1 4/7)

Step-by-step explanation:

Answer 2

Answer:

$\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )$

given:

• y = 6x+5

• y = -x+1

insert question 2 into 1

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

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

$\sf -7x = 4$

$\sf x = -\frac{4}{7}$

find the value of y:

$\sf y = -x + 1$

$\sf y = -\frac{-4}{7} + 1$

$\sf y = \frac{4}{7} + 1$

$\sf y = \frac{4}{7} +\frac{7}{7}$

$\sf y = \frac{11}{7}$

$\sf y = 1\frac{4}{7}$

Therefore coordinates: (x,y) = $\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )$