Question

Select the correct answer from the drop-down menu.

Consider the equations y = |x − 1| and y = 3x + 2.
The approximate solution of this system of equations is

Answer 1

(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y

Explanation:

Answer 2

x = -1/4, y = 5/4.

Explanation:

Because of the absolute value equation y = |x - 1| the value of y must be positive.

Solving x - 1 = 3x + 2 :

2x = -3

x = -3/2 and y = -5/2 so x= -3/2 is not a solution.

x - 1 xcan also be negative so we have the equation

- (x - 1) = 3x + 2

1 - x = 3x + 2

-1 = 4x

x = -1/4

y = 1 - - 1/4 = 5/4.