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

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:

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

Then, the solution of is the co-ordinate "x" of the mentioned ordered pair.

The solution of

Option C

true

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.