Question

Solve the system of equations below by graphing both equations with a pencil

and paper. What is the solution?
y = x+1
y=-3x+4

Answer 1

(2,3) C

Explanation:

Solve using y = mx + b and graph!

Answer 2

Option (C)

Explanation:

System of the equations have been given as,

`y=x+1` --------(1)

`y=-(1)/(2)x+4` -------(2)

Substitute the value of y from equation (1) to equation (2),

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

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

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

`(3)/(2)x=3`

`x=2`

Substitute the value of 'x' in equation (1),

`y=2+1`

`y=3`

By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).

Therefore, solution of the system of equations will be
`(2,3)`.

Option (C) will be the answer.