Question

Michael graphs the equations y=-1/2x+4 and y = x + 1 to solve the equation -1/2x+4=x+1. His graph is shown below.

What are the solution(s) of -1/2x+4=x+1
A. –1 and 8
B. 1 and 4
C. 2
D. 3

Answer 1

the answer is c. X=2

Answer 2

Keywords:

System of equations, ordered pair, variable, graphic solution

For this case we have that by definition, the graphical solution of two equations is given by the intersection point (x, y) of both lines. We have the following system of equations:

`y = - \frac {1} {2} x + 4\\y = x + 1`

According to the graph of Michael, it is observed that the solution of the system is given by the following ordered pair:

`(x, y) = (2,3)`

Then, the solution of
`- \frac {1} {2} x + 4 = x + 1` is the co-ordinate "x" of the mentioned ordered pair.

Answer:

The solution of
`- \frac {1} {2} x + 4 = x + 1\ is\ x = 2`

Option C