Question

At what point will both lines intersect. y=1(1)/(3)x+(1)/(6) and y=-1x+(4)/(7)

Answer 1

To find the point of intersection between the two lines, you need to set the equations equal to each other, solve for x, and then substitute the value of x back into one of the equations to find y.

Step-by-step explanation:

To find the point of intersection between the lines y = (1/3)x + (1/6) and y = -x + (4/7), you need to set the equations equal to each other:

(1/3)x + (1/6) = -x + (4/7)

Multiplying both sides by 42 to eliminate the fractions gives:

14x + 7 = -42x + 24

Combining like terms:

56x = 17

Dividing by 56 gives:

x = 17/56

Substituting the value of x back into one of the original equations:

y = (1/3)(17/56) + (1/6) = 17/168 + 14/168 = 31/168

Therefore, the point of intersection between the two lines is (17/56, 31/168).