Question

Two linear equations are shown.

image is

y=1/3x+2
y=4/3x-5

What is the solution to the system of equations?

(7, 4)
7,13/3
8,14/3
(9, 7)

Answer 1

look in the image for the point where the two lines meet.
It should be (7, 13/3)
the answer is B.

Answer 2

Option 2nd is correct

`(7, (13)/(3))`

Explanation:

Given the system of equations:

`y = (1)/(3)x+2` .....[1]

`y = (4)/(3)x-5` .....[2]

Equate these equations we have;

`(4)/(3)x-5 = (1)/(3)x+2`

Add 5 to both sides we have;

`(4)/(3)x= (1)/(3)x+7`

Subtract
`(1)/(3)x` from both sides we have;

`(4)/(3)x-(1)/(3)x =7`

Simplify:

`x = 7`

Substitute the value of x in [1] we have;

`y = (1)/(3)(7)+2`

⇒
`y = (7)/(3) +2 = (13)/(3)`

Therefore, the solution to the system of given equations is,
`(7, (13)/(3))`